{"id":1579,"date":"2021-03-19T14:16:09","date_gmt":"2021-03-19T14:16:09","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/calculus1\/?post_type=chapter&p=1579"},"modified":"2021-06-08T15:11:23","modified_gmt":"2021-06-08T15:11:23","slug":"introduction-to-integration-formulas-and-the-net-change-theorem","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/introduction-to-integration-formulas-and-the-net-change-theorem\/","title":{"raw":"Introduction to Integration Formulas and the Net Change Theorem","rendered":"Introduction to Integration Formulas and the Net Change Theorem"},"content":{"raw":"

What you\u2019ll learn to do:\u00a0Use the net change theorem<\/h2>\r\nIn this section, we use some basic integration formulas studied previously to solve some key applied problems. It is important to note that these formulas are presented in terms of\u00a0indefinite<\/em>\u00a0integrals. Although definite and indefinite integrals are closely related, there are some key differences to keep in mind. A definite integral is either a number (when the limits of integration are constants) or a single function (when one or both of the limits of integration are variables). An indefinite integral represents a family of functions, all of which differ by a constant. As you become more familiar with integration, you will get a feel for when to use definite integrals and when to use indefinite integrals. You will naturally select the correct approach for a given problem without thinking too much about it. However, until these concepts are cemented in your mind, think carefully about whether you need a definite integral or an indefinite integral and make sure you are using the proper notation based on your choice.","rendered":"

What you\u2019ll learn to do:\u00a0Use the net change theorem<\/h2>\n

In this section, we use some basic integration formulas studied previously to solve some key applied problems. It is important to note that these formulas are presented in terms of\u00a0indefinite<\/em>\u00a0integrals. Although definite and indefinite integrals are closely related, there are some key differences to keep in mind. A definite integral is either a number (when the limits of integration are constants) or a single function (when one or both of the limits of integration are variables). An indefinite integral represents a family of functions, all of which differ by a constant. As you become more familiar with integration, you will get a feel for when to use definite integrals and when to use indefinite integrals. You will naturally select the correct approach for a given problem without thinking too much about it. However, until these concepts are cemented in your mind, think carefully about whether you need a definite integral or an indefinite integral and make sure you are using the proper notation based on your choice.<\/p>\n\n\t\t\t

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Candela Citations<\/h3>\n\t\t\t\t\t
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