Question

Calculate the following integrals
\[\Large \int_0^a dx x^{2}e^{x}\]

Answer 1

Integration by parts 2 times

Answer 2

Sam, a complete solution would be much apreciate, i have exam tomorrow and its possibly be on my exam or very smilar question of this..

Answer 3

http://www.wolframalpha.com/input/?i=integrate+x^2+e^x
hit show steps

Answer 4

let
u=x^2 dv=e^x
du=2xdx v=e^x

\[x^2e^x-\int\limits_{}^{}e^x(2x)dx\]
let
u=2x dv=e^x
du=2dx v=e^x
\[x^2e^x-(2xe^x-\int\limits_{}^{}2e^xdx)\]
\[x^2e^x-(2xe^x-2e^x)\]

Answer 5

thank you Mr Saab and thank you Sam

Answer 6

yw