Integrate: $ \int\limits _0^{\pi} e^x \sin x dx$

Question

\[\begin {array} {1 1} (a)\;\frac{e^{\pi}+1}{2} \\ (b)\;\frac{e^{\pi}-1}{2} \\ (c)\;\frac{e^{\pi}+1}{\sqrt 2} \\ (d)\;\frac{e^{\pi}-1}{\sqrt 2} \end {array}\]