Thread: intergration by parts

hey i was just wondering how to do this problem. Its in the attachment.

It is not clear but what you have in the attachment is it what you have after integrating? In this case simply evaluate at t and 0 and subtract.

If this is the integral let u = polynomial dv = exponential

you'll have to integrate more than once

In addition to Calculus26's method I would bring out -1/4 outside the integral to clear the fraction if it is the integral