# Assorted IntegrationsUse an appropriate substitution and

## Problem 35E Chapter 8.4

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 35E

Assorted Integrations

Use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

Step-by-Step Solution:

Step 1 of 3:

In this problem, we need to evaluate the integral , by using an appropriate substitution and then trigonometric substitution.

Step 2 of 3:

Given integral is

Let us take,

Now differentiating on both sides we get

If , then

If , then

Hence, the limits are

Substitute, these values in the given integral we get.

Step 3 of 3

##### ISBN: 9780321884077

The full step-by-step solution to problem: 35E from chapter: 8.4 was answered by , our top Calculus solution expert on 08/01/17, 02:37PM. Since the solution to 35E from 8.4 chapter was answered, more than 229 students have viewed the full step-by-step answer. The answer to “Assorted IntegrationsUse an appropriate substitution and then a trigonometric substitution to evaluate the integrals.” is broken down into a number of easy to follow steps, and 14 words. This full solution covers the following key subjects: Substitution, integrations, evaluate, Integrals, assorted. This expansive textbook survival guide covers 138 chapters, and 9198 solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th.

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