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20 - Integration by Substitution: Problem 1 (10 points) Consider the integral / 72" (+ 1) dx. In the following, we will
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20 - Integration by Substitution: Problem 1 (10 points) Consider the integral / 72" (+ 1) dx. In the following, we will evaluate the integral using two methods. A. First, rewrite the integral by multiplying out the integrand: | 72" (* + 1) dx = ES dz Then evaluate the resulting integral term-by-term: | 72" (** +1) dx = B. Next, rewrite the integral using the substitution w = 4 +1: w | 7x* (** +1) de = | dw Evaluate this integral (and back-substitute for w) to find the value of the original integral: | 7x* (z* + 1) dx = C. How are your expressions from parts (A) and (B) different? What is the difference between the two? (answer from B)-(answer from A) = Are both of the answers correct?
20 - Integration by Substitution: Problem 3 (8 points) Find the following indefinite integral (antiderivative). et li da 1 + el