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# Evaluate the indefinite integral.$\displaystyle \int 5^t \sin(5^t) \, dt$

## $-\cos \left(5^{t}\right) / \ln (5)+C$

Integrals

Integration

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##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

Lectures

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### Video Transcript

We know that you knew this fact, T which means that Gene you is five to the tee times natural over five DT. Which means we have won over natural over five times taking the role. You have negative co sign you plus C which plugging end because we don't want you. In our final answer, we have a negative co sign property divided by natural over five plus e.