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Problem 41 Medium Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \cot x \, dx $

Answer

$$\ln |\sin x|+C$$

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Video Transcript

We're looking at the integral of Coach engine axe d x We know that cotija axes cosign x o ver sine x, which means now we're looking at the integral of coastline acts over sign acts de axe. Okay. What this means now is that if you is sign acts, then de axe is d'you over co sign X Once we've taken the derivative of science, which is co sacks which means now we know the integral is won over you. Do you which substituting us? Sign X. We end up with our final solution of natural log of sign axe plus C.