Explanation Formula used: The indefinite integral ∫ d x a 2 − x 2 = sin − 1 ( x a ) + C , a > 0 Let x = a sin ( θ ) . Then d x = a cos ( θ ) d θ . ∫ d x a 2 − x 2 = ∫ a cos ( θ ) d θ a 2 − a 2 sin 2 ( θ ) ∫ d x a 2 − x 2 = ∫ a cos ( θ ) d θ a cos ( θ ) ∫ d x a 2 − x 2 = ∫ d θ ∫ d x a 2 − x 2 = θ + C ∫ ...

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.

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Question

Chapter 8.7, Problem 31E

To determine

Whether the improper integral $\int_{0}^{3} \frac{d x}{\sqrt{9 - x^{2}}}$ converges. If so evaluate it.

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Chapter 8.7, Problem 30E

Chapter 8.7, Problem 32E

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Chapter 8 Solutions

CALCULUS W/SAPLING ACCESS >IC<

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