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Problem 33 Medium Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \cos (1 + 5t) \, dt $


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

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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.