Question

Evaluate. (Be sure to check by differentiating!) Ge by Sebe dy 5 t e be by dy = =0 by 5+ e yan at

Answer 1

Let us use sustitution to solve this integral

$\begin{gathered} u=5+e^{6y}\rightarrow du=6e^{6y}dy \\ \int u^{-1}du=\ln \mleft|u\mright|+c=\ln \mleft|5+e^{6y}\mright|+c \end{gathered}$