{"id":3762,"date":"2021-05-12T20:24:05","date_gmt":"2021-05-12T20:24:05","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-sets\/"},"modified":"2023-10-04T20:29:30","modified_gmt":"2023-10-04T20:29:30","slug":"problem-sets","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-sets\/","title":{"raw":"Problem Sets","rendered":"Problem Sets"},"content":{"raw":"<h3><img class=\"aligncenter wp-image-244\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/06\/01221948\/puzzle-e1509574823899.png\" alt=\"icon of two puzzle pieces\" width=\"200\" height=\"200\" \/><\/h3>\r\n<span style=\"color: #333333;\">This course contains problem sets that accompany each section and module. In these problem sets, students are given an opportunity to apply the quantitative-reasoning skills they learned throughout the module.<\/span>\r\n\r\nAnswers are only available to the problems with \"Show Solution\" links below the question prompt.\r\n<h2>Module 1: Functions and Graphs<\/h2>\r\n<ul>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-review-of-functions\/\">Problem Set: Review of Functions<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-basic-classes-of-functions\/\">Problem Set: Basic Classes of Functions<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-trigonometric-functions\/\">Problem Set: Trigonometric Functions<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-inverse-functions\/\">Problem Set: Inverse Functions<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-exponential-and-logarithmic-functions\/\">Problem Set: Exponential and Logarithmic Functions<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/module-1-review-problems\/\">Module 1 Review Problems<\/a><\/li>\r\n<\/ul>\r\n<h3><span style=\"color: #077fab; font-size: 1.15em; font-weight: 600;\">Module 2: Limits<\/span><\/h3>\r\n<ul>\r\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-a-preview-of-calculus\/\">Problem Set: A Preview of Calculus<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-limit-of-a-function\/\">Problem Set: The Limit of a Function<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-limit-laws\/\">Problem Set: The Limit Laws<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-continuity\/\">Problem Set: Continuity<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-precise-definition-of-a-limit\/\">Problem Set: The Precise Definition of a Limit<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/module-2-review\/\">Module 2 Review Problems<\/a><\/li>\r\n<\/ul>\r\n<h2>Module 3: Derivatives<\/h2>\r\n<ul>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-defining-the-derivative\/\">Problem Set: Defining the Derivative<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-derivative-as-a-function\/\">Problem Set: The Derivative as a Function<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-differentiation-rules\/\">Problem Set: Differentiation Rules<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-derivatives-as-rates-of-change\/\">Problem Set: Derivatives as Rates of Change<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-derivatives-of-trigonometric-functions\/\">Problem Set: Derivatives of Trigonometric Functions<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-chain-rule\/\">Problem Set: The Chain Rule<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-derivatives-of-inverse-functions\/\">Problem Set: Derivatives of Inverse Functions<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-implicit-differentiation\/\">Problem Set: Implicit Differentiation<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-derivatives-of-exponential-and-logarithmic-functions\/\">Problem Set: Derivatives of Exponential and Logarithmic Functions<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/module-3-review\/\">Module 3 Review Problems<\/a><\/li>\r\n<\/ul>\r\n<h2>Module 4: Applications of Derivatives<\/h2>\r\n<ul>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-related-rates\/\">Problem Set: Related Rates<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-linear-approximations-and-differentials\/\">Problem Set: Linear Approximations and Differentials<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-maxima-and-minima\/\">Problem Set: Maxima and Minima<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-mean-value-theorem\/\">Problem Set: The Mean Value Theorem<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-derivatives-and-the-shape-of-a-graph\/\">Problem Set: Derivatives and the Shape of a Graph<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-limits-at-infinity-and-asymptotes\/\">Problem Set: Limits at Infinity and Asymptotes<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-applied-optimization-problems\/\">Problem Set: Applied Optimization Problems<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-lhopitals-rule\/\">Problem Set: L\u2019H\u00f4pital\u2019s Rule<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-newtons-method\/\">Problem Set: Newton\u2019s Method<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-antiderivatives\/\">Problem Set: Antiderivatives<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/chapter-4-review-exercises\/\">Module 4 Review Problems<\/a><\/li>\r\n<\/ul>\r\n<h2>Module 5: Integration<\/h2>\r\n<ul>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-approximating-areas\/\">Problem Set: Approximating Areas<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-definite-integral\/\">Problem Set: The Definite Integral<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-fundamental-theorem-of-calculus\/\">Problem Set: The Fundamental Theorem of Calculus<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-integration-formulas-and-the-net-change-theorem\/\">Problem Set: Integration Formulas and the Net Change Theorem<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-substitution\/\">Problem Set: Substitution<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-integrals-involving-exponential-and-logarithmic-functions\/\">Problem Set: Integrals Involving Exponential and Logarithmic Functions<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-integrals-resulting-in-inverse-trigonometric\/\">Problem Set: Integrals Resulting in Inverse Trigonometric<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/chapter-5-review-exercises\/\">Module 5 Review Problems<\/a><\/li>\r\n<\/ul>\r\n<h2>Module 6: Applications of Integration<\/h2>\r\n<ul>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-areas-between-curves\/\">Problem Set: Areas Between Curves<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-determining-volumes-by-slicing\/\">Problem Set: Determining Volumes by Slicing<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-volumes-of-revolution-cylindrical-shells\/\">Problem Set: Volumes of Revolution: Cylindrical Shells<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-arc-length-of-a-curve-and-surface-area\/\">Problem Set: Arc Length of a Curve and Surface Area<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-physical-applications\/\">Problem Set: Physical Applications<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-moments-and-centers-of-mass\/\">Problem Set: Moments and Centers of Mass<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-integrals-exponential-functions-and-logarithms\/\">Problem Set: Integrals, Exponential Functions, and Logarithms<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-exponential-growth-and-decay\/\">Problem Set: Exponential Growth and Decay<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-calculus-of-the-hyperbolic-functions\/\">Problem Set: Calculus of the Hyperbolic Functions<\/a><\/li>\r\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/chapter-6-review-excercises\/\">Module 6 Review Problems<\/a><\/li>\r\n \t<li style=\"list-style-type: none;\"><\/li>\r\n<\/ul>","rendered":"<h3><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-244\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/06\/01221948\/puzzle-e1509574823899.png\" alt=\"icon of two puzzle pieces\" width=\"200\" height=\"200\" \/><\/h3>\n<p><span style=\"color: #333333;\">This course contains problem sets that accompany each section and module. In these problem sets, students are given an opportunity to apply the quantitative-reasoning skills they learned throughout the module.<\/span><\/p>\n<p>Answers are only available to the problems with &#8220;Show Solution&#8221; links below the question prompt.<\/p>\n<h2>Module 1: Functions and Graphs<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-review-of-functions\/\">Problem Set: Review of Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-basic-classes-of-functions\/\">Problem Set: Basic Classes of Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-trigonometric-functions\/\">Problem Set: Trigonometric Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-inverse-functions\/\">Problem Set: Inverse Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-exponential-and-logarithmic-functions\/\">Problem Set: Exponential and Logarithmic Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/module-1-review-problems\/\">Module 1 Review Problems<\/a><\/li>\n<\/ul>\n<h3><span style=\"color: #077fab; font-size: 1.15em; font-weight: 600;\">Module 2: Limits<\/span><\/h3>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-a-preview-of-calculus\/\">Problem Set: A Preview of Calculus<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-limit-of-a-function\/\">Problem Set: The Limit of a Function<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-limit-laws\/\">Problem Set: The Limit Laws<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-continuity\/\">Problem Set: Continuity<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-precise-definition-of-a-limit\/\">Problem Set: The Precise Definition of a Limit<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/module-2-review\/\">Module 2 Review Problems<\/a><\/li>\n<\/ul>\n<h2>Module 3: Derivatives<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-defining-the-derivative\/\">Problem Set: Defining the Derivative<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-derivative-as-a-function\/\">Problem Set: The Derivative as a Function<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-differentiation-rules\/\">Problem Set: Differentiation Rules<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-derivatives-as-rates-of-change\/\">Problem Set: Derivatives as Rates of Change<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-derivatives-of-trigonometric-functions\/\">Problem Set: Derivatives of Trigonometric Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-chain-rule\/\">Problem Set: The Chain Rule<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-derivatives-of-inverse-functions\/\">Problem Set: Derivatives of Inverse Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-implicit-differentiation\/\">Problem Set: Implicit Differentiation<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-derivatives-of-exponential-and-logarithmic-functions\/\">Problem Set: Derivatives of Exponential and Logarithmic Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/module-3-review\/\">Module 3 Review Problems<\/a><\/li>\n<\/ul>\n<h2>Module 4: Applications of Derivatives<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-related-rates\/\">Problem Set: Related Rates<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-linear-approximations-and-differentials\/\">Problem Set: Linear Approximations and Differentials<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-maxima-and-minima\/\">Problem Set: Maxima and Minima<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-mean-value-theorem\/\">Problem Set: The Mean Value Theorem<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-derivatives-and-the-shape-of-a-graph\/\">Problem Set: Derivatives and the Shape of a Graph<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-limits-at-infinity-and-asymptotes\/\">Problem Set: Limits at Infinity and Asymptotes<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-applied-optimization-problems\/\">Problem Set: Applied Optimization Problems<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-lhopitals-rule\/\">Problem Set: L\u2019H\u00f4pital\u2019s Rule<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-newtons-method\/\">Problem Set: Newton\u2019s Method<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-antiderivatives\/\">Problem Set: Antiderivatives<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/chapter-4-review-exercises\/\">Module 4 Review Problems<\/a><\/li>\n<\/ul>\n<h2>Module 5: Integration<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-approximating-areas\/\">Problem Set: Approximating Areas<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-definite-integral\/\">Problem Set: The Definite Integral<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-the-fundamental-theorem-of-calculus\/\">Problem Set: The Fundamental Theorem of Calculus<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-integration-formulas-and-the-net-change-theorem\/\">Problem Set: Integration Formulas and the Net Change Theorem<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-substitution\/\">Problem Set: Substitution<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-integrals-involving-exponential-and-logarithmic-functions\/\">Problem Set: Integrals Involving Exponential and Logarithmic Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-integrals-resulting-in-inverse-trigonometric\/\">Problem Set: Integrals Resulting in Inverse Trigonometric<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/chapter-5-review-exercises\/\">Module 5 Review Problems<\/a><\/li>\n<\/ul>\n<h2>Module 6: Applications of Integration<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-areas-between-curves\/\">Problem Set: Areas Between Curves<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-determining-volumes-by-slicing\/\">Problem Set: Determining Volumes by Slicing<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-volumes-of-revolution-cylindrical-shells\/\">Problem Set: Volumes of Revolution: Cylindrical Shells<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-arc-length-of-a-curve-and-surface-area\/\">Problem Set: Arc Length of a Curve and Surface Area<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-physical-applications\/\">Problem Set: Physical Applications<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-moments-and-centers-of-mass\/\">Problem Set: Moments and Centers of Mass<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-integrals-exponential-functions-and-logarithms\/\">Problem Set: Integrals, Exponential Functions, and Logarithms<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-exponential-growth-and-decay\/\">Problem Set: Exponential Growth and Decay<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/problem-set-calculus-of-the-hyperbolic-functions\/\">Problem Set: Calculus of the Hyperbolic Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/chapter-6-review-excercises\/\">Module 6 Review Problems<\/a><\/li>\n<li style=\"list-style-type: none;\"><\/li>\n<\/ul>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-3762\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Problem Sets. <strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Puzzle Pieces. <strong>Authored by<\/strong>: LAFS. <strong>Provided by<\/strong>: Noun Project. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/thenounproject.com\/term\/puzzle-pieces\/963732\/\">https:\/\/thenounproject.com\/term\/puzzle-pieces\/963732\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17533,"menu_order":6,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Problem Sets\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Puzzle Pieces\",\"author\":\"LAFS\",\"organization\":\"Noun 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