   Chapter 8.4, Problem 3E

Chapter
Section
Textbook Problem

Using Trigonometric Substitution In Exercises 3–6, find the indefinite integral using the substitution x = 4 sin θ . ∫ 1 ( 16 − x 2 ) 3 / 2 d x

To determine
The solution of the indefinite integral 1(16x2)3/2dx.

Explanation

Given: The indefinite integral 1(16x2)3/2dx.

Explanation: Because 116x2 is of the form 1a2x2, use the trigonometric substitution: x=4sinθ ==> dx=4cosθdθ. Hence, 1(16x2)3/2dx=1(16x2)3dx=

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