{"id":1580,"date":"2021-03-19T14:16:50","date_gmt":"2021-03-19T14:16:50","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/calculus1\/?post_type=chapter&p=1580"},"modified":"2021-06-08T15:11:29","modified_gmt":"2021-06-08T15:11:29","slug":"introduction-to-substitution","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/introduction-to-substitution\/","title":{"raw":"Introduction to Substitution","rendered":"Introduction to Substitution"},"content":{"raw":"

What you\u2019ll learn to do:\u00a0Apply substitution to indefinite and definite integrals<\/h2>\r\nThe Fundamental Theorem of Calculus gave us a method to evaluate integrals without using Riemann sums. The drawback of this method, though, is that we must be able to find an antiderivative, and this is not always easy. In this section we examine a technique, called integration by substitution<\/strong>, to help us find antiderivatives. Specifically, this method helps us find antiderivatives when the integrand is the result of a chain-rule derivative.","rendered":"

What you\u2019ll learn to do:\u00a0Apply substitution to indefinite and definite integrals<\/h2>\n

The Fundamental Theorem of Calculus gave us a method to evaluate integrals without using Riemann sums. The drawback of this method, though, is that we must be able to find an antiderivative, and this is not always easy. In this section we examine a technique, called integration by substitution<\/strong>, to help us find antiderivatives. Specifically, this method helps us find antiderivatives when the integrand is the result of a chain-rule derivative.<\/p>\n\n\t\t\t

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