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I have been trying to solve this question with the simple methods I knew but couldn't come to the solution. I would appreciate a bit of hint to solve this integral problem?

$\;\displaystyle\int\frac {e^x}x\,dx$

Edit : Can't it be solved even if certain upper and lower limits are involved?

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    $\int\dfrac{e^x}{x}dx=\int\dfrac{1}{x}\sum\limits_{n=0}^\infty\dfrac{x^n}{n!}dx=\int\sum\limits_{n=0}^\infty\dfrac{x^{n-1}}{n!}dx=\int\left(\dfrac{1}{x}+\sum\limits_{n=1}^\infty\dfrac{x^{n-1}}{n!}\right)dx=\ln x+\sum\limits_{n=1}^\infty\dfrac{x^n}{n!n}+C$ – 2017-01-23

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The anti-derivative of this is known as the Exponential Integral and has no closed forms.