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10 dx a > 0 (a2 + x2)3/2'

10 dx a > 0 (a2 + x2)3/2'

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 40E
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Question
10 dx a > 0 (a2 + x2)3/2'
Transcribed Image Text:10 dx a > 0 (a2 + x2)3/2'
Expert Solution
Step 1

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\int _0^a\frac{1}{\left(a^2+x^2\right)^{\frac{3}{2}}}dx...........(1)

substitute 

x=a\tan \left(u\right)

dx=a\sec ^2\left(u\right)du............put it back in equation 1

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