^ dude your introuble if your struggling with this!! it gets a lot harder!! just wait till you start BC topics and shit. oh boy fond memories of calc...
are you intergrating from 1 to zero or zero to 1? I think calc only gets easier. After you learn the basics calc 2 I guess is alittle harder but 3 and diffy q are cake.
I am almost 100% positive that the intergral works out to be (xe^2x)-e^2x. I'll let you plug in the numbers yourself, this should be a good enough start. If you need to know how to do it, its /fg'=fg-/f'g