1. ## Integration

Evaluate $\int e^y y^{-y}dy$

I tried integrating by parts by setting u= $y^{-y}$ and dv= $e^y$ but it didn't work.
Evaluate $\int e^y y^{-y}dy$
I tried integrating by parts by setting u= $y^{-y}$ and dv= $e^y$ but it didn't work.
Are you sure it's $\int e^y y^{-y}dy$?