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Integrate each of the given functions.$$\int \frac{2 d x}{\sqrt{e^{2 x}-1}}$$

$2 \sec ^{-1}\left(e^{x}\right)+C$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 8

Integration by Trigonometric Substitution

Integrals

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Lectures

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In mathematics, precalculu…

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In mathematics, a function…

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Evaluate the integrals by …

01:14

Evaluate the following int…

01:22

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Evaluate each integral.

01:23

Evaluate each definite int…

02:19

Use substitution to find e…

00:46

00:36

02:12

Evaluate the integrals.

01:12

Evaluate the integral.…

in the problem we have to find the integral that is integration to the X over. We'll go get off U. To the power Twix minus one. Now here we have to assume Youtube or ecstatic was in jail. So it barracks. The X equals dessert. Now this become digression to desert over Whatever of Jerry Square -1 into that. So just equals two to integration desert over jade on the road. You're the Square -1. Now late judy equal sec data. So digit becomes spectator Dante to the theater. Now this is equal to twice integration spectator Dante to data over sector to into route over of six quarter to minus 20 stand theater the standard as secretary to cancel the standard of secretary. Therefore we have to Depression duty that which is equal to 23 to or it is equal to twice second words. You'd barracks plus C. So this is the answer to the problem.

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