2 3 (25-x2) 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 70E
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Question
2
3
(25-x2)
2
Transcribed Image Text:2 3 (25-x2) 2
Expert Solution
Step 1

Given:

The integral is, 

Calculus homework question answer, Step 1, Image 1
Step 2

Formula used:

 

Calculus homework question answer, Step 2, Image 1
Step 3

To evaluate the integral using the substitution method.

Let x = 5 siny, then dx=5 cosy dy

Substitute the above values in the given integral and simplific it.

Calculus homework question answer, Step 3, Image 1
Step 4

Obtain the above indefinite integral.

Calculus homework question answer, Step 4, Image 1
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