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Numerade Educator

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Problem 40 Medium Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \frac{\sin x}{1 + \cos^2 x} \, dx $

Answer

$-\tan ^{-1}(\cos x)+c$

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Video Transcript

We know that you is Cosette of acts, which means that G UA is negative Sign angsty acts, which means that de ox is negative to you, divided by a sign of acts Which means that we'll be integrate negative times the integral of Warren over you square post warm, Do you? We got negative tangent to the negative First power times You pussy on back Substitute us coast on axe We end up with Native Chandra to the negative warm of co sign Axe plus C is our solution.