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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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