(a) In each case, determine if the method of substitution is appropriate in order to evaluate the integral. 5 + dx ---Select--- e-t (5 + e-t)6 dt ---Select--- (b) Fill in the information to show the necessary work needed to evaluate x2 sin(4 + 5x³) dx using the method of substitution. Use a substitution that does not require another substitution to evaluate the integral. u = du = Rewrite the integral in terms of u only. Evaluate the integral.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 35RE
Question
(a) In each case, determine if the method of substitution is appropriate in order to evaluate the integral.
5 + x2
dx ---Select---
e-t (5 + e-t)6 dt
---Select---
(b) Fill in the information to show the necessary work needed to evaluate
x2 sin(4 + 5x³) dx using the method of substitution.
Use a substitution that does not require another substitution to evaluate the integral.
u =
du
Rewrite the integral in terms of u only.
Evaluate the integral.
Transcribed Image Text:(a) In each case, determine if the method of substitution is appropriate in order to evaluate the integral. 5 + x2 dx ---Select--- e-t (5 + e-t)6 dt ---Select--- (b) Fill in the information to show the necessary work needed to evaluate x2 sin(4 + 5x³) dx using the method of substitution. Use a substitution that does not require another substitution to evaluate the integral. u = du Rewrite the integral in terms of u only. Evaluate the integral.
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