Problem

Integrate each of the given functions. $$\int \fr…

Problem 14 Easy Difficulty

Integrate each of the given functions.
$$\int \frac{6 d x}{x \sqrt{4-x^{2}}}$$

Answer

$-3 \ln \left|\frac{2+\sqrt{4-x^{2}}}{x}\right|+C$

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Calculus 1 / AB

Basic Technical Mathematics with Calculus

Chapter 28

Methods of Integration

Section 8

Integration by Trigonometric Substitution

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Video Transcript

in the problem we have been given to find the integration for individual six dx upon X and route four minus Squire. Therefore, for solving this problem will assume x equal two scientists. Therefore X Square becomes four sine squared theta. Now we have further dx equal two cost theta. D. Theta or further this is six integration to cause a threat to the cheetah upon to sign theater and the route four minus four find squared theta. Now this is equal to six this division to cause these to the theater pawn to sign theater into two cost tita. Now this cost it a cancers. This cost to these two cancers these two. Therefore we have these six integration D. Theta upon two. Scientific to this is equal to three integration Car 60. WT Down. Hence This is equal to three in the record we have minus Ellen maude Kosik tita, plus got to to plus C. Further this is regionals minus three Ellen mod two plus route over over four minus X Squire upon X plus C. So this is the final integration solution. Hence it is the answer

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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