Question Number 6972 by Tawakalitu. last updated on 03/Aug/16
$${Evaluate}\:\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:{dx}\:\underset{\mathrm{0}} {\overset{{x}} {\int}}\:{e}^{\frac{{y}}{{x}}} \:{dy} \\ $$
Answered by FilupSmith last updated on 03/Aug/16
![=1((1/x)[e^(y/x) ]_0 ^x )=(1/x)(eā1)](https://www.tinkutara.com/question/Q6973.png)
$$=\mathrm{1}\left(\frac{\mathrm{1}}{{x}}\left[{e}^{{y}/{x}} \right]_{\mathrm{0}} ^{{x}} \right)=\frac{\mathrm{1}}{{x}}\left({e}ā\mathrm{1}\right) \\ $$