Question

Please help!!!

Answer 1

Find the integral of y/e^2y from 0 to 1

Answer 2

Do you know how to do integration by parts?

Answer 3

Someone is helping me but thank you :)

Answer 4

Example of integration by parts:


\(\color{#000000}{ \displaystyle \int xe^{ax}dx }\) \(\\[2.0em]\)
\(\color{#000000}{ \displaystyle u=x }\) \(\color{#000000}{ \displaystyle dv=e^{ax}dx }\)
\(\color{#000000}{ \displaystyle du=dx }\) \(\color{#000000}{ \displaystyle v=\frac{1}{a}e^{ax} }\)

\(\color{#000000}{ \displaystyle \int xe^{ax}dx =\frac{1}{a}xe^{ax}-\frac{1}{a}\int e^{ax}dx }\) \(\\[1.7em]\)
\(\color{#000000}{ \displaystyle \int xe^{ax}dx =\frac{1}{a}xe^{ax}-\frac{1}{a^2} e^{ax}+C }\) \(\\[1.7em]\)