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Numerade Educator

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Problem 42 Medium Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \frac{\cos (\ln t)}{t} \, dt $

Answer

$\sin (\ln t)+C$

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Video Transcript

okay, we know we're looking at the integral Off co sign of Natural order 50 Divide by G. Did you we know we can substitute not royal of tea is you. Which means that de ti over tea as d'you which means now we're looking at the integral off co sign you, do you, which is a sign of you, plus C Now remember that you is equivalent to natural log of tea. Which means substituting in what? Us? We have a sign. Natural log of tea, plus C.