how do i integrate the following: (cos (e^t))(e^t) dt do i use integration by parts, if so , what is my v and what is my u?
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Just a simple u-substitution will do. $\displaystyle {\color{red}u = e^t} \ \Rightarrow \ {\color{blue}du = e^t dt}$ So: $\displaystyle \int \cos \left({\color{red}e^t}\right) {\color{blue}e^tdt} = \cdots$
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