   Chapter 8.4, Problem 4E

Chapter
Section
Textbook Problem

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

To determine
The solution of the indefinite integral 4    x216x2 dx.

Explanation

Given: The Indefinite integral 4    x216x2 dx.

Explanation: Because 1 16x2  is of the form 1a2x2, use the trigonometric substitution x=4sinθ ==> dx=4cosθdθ Hence,

4    x216x2 dx=4(4cosθ )</

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