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# Evaluate the indefinite integral.$\displaystyle \int \cos (1 + 5t) \, dt$

## $$\frac{1}{5} \sin (1+5 t)+C$$

Integrals

Integration

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

we know that you is wonderful. Five t which means that to you as five d. T. And readiness in terms of DT alone we have, do you divide by five, which means we can pull out the constant of 1/5 multiply it by the integral of co sign you to you, which integrating this gives us 1/5 sign. You plus C on deacon. Backed up to you is one plus five t. We have 1/5 sign one plus five t plus c.

#### Topics

Integrals

Integration

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp