Explanation Formula used: The indefinite integral ∫ d x ( a + b x ) n = 1 b ( 1 − n ) ( a + b x ) 1 − n + C , n ≠ 1 . Calculation: ∫ 0 4 d x 4 − x = 1 1 − 1 2 [ − ( 4 − x ) 1 − 1 2 ] x = 0 4 ∫ 0 4 d x 4 − x = − 2 [

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 8.7, Problem 11E

To determine

Whether the improper integral $\int_{0}^{4} \frac{d x}{\sqrt{4 - x}}$ converges. If so evaluate it.

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Chapter 8.7, Problem 10E

Chapter 8.7, Problem 12E

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Chapter 8 Solutions

CALCULUS W/SAPLING ACCESS >IC<

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Whether the improper integral ∫ 0 4 d x 4 − x converges. If so evaluate it.

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Whether the improper integral ∫ 0 4 d x 4 − x converges. If so evaluate it.

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Whether the improper integral $\int_{0}^{4} \frac{d x}{\sqrt{4 - x}}$ converges. If so evaluate it.