# integration by parts problem

• Apr 21st 2010, 03:19 AM
renlok
integration by parts problem
is it possible to integrate something like $e^x.\frac{1}{2\sqrt{x}}$

because neither part will cancel so i just keep getting stuck in a perpetual loop
• Apr 21st 2010, 03:41 AM
General
Note that : $e^x=e^{\left( \sqrt{x} \right)^2}$

If you substitute $u=\sqrt{x}$, you will get :

$\int e^{u^2} \, du$ , which is well-known unelementary integral ..

Your integral can not be expressed in terms of elemenetary integrals ..