Evaluate $\displaystyle \int e^y y^{-y}dy$ I tried integrating by parts by setting u=$\displaystyle y^{-y}$ and dv=$\displaystyle e^y$ but it didn't work. Please help me out. Thanks.
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Originally Posted by elmo Evaluate $\displaystyle \int e^y y^{-y}dy$ I tried integrating by parts by setting u=$\displaystyle y^{-y}$ and dv=$\displaystyle e^y$ but it didn't work. Please help me out. Thanks. Are you sure it's $\displaystyle \int e^y y^{-y}dy$? Even Taylor doesn't seem to work here.
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