Question

Find the exact value .

Answer 1

\[\int\limits_{0}^{1}xe ^{2x}\]

Answer 2

help amigos.!

Answer 3

integrate by parts

Answer 4

i went wrong somewhere and i don't know where tht's why i'm asking . =]

Answer 5

\[\int\limits_{0}^{1}\]
vx=x v'x=1
wx=e^2x ,w'x=2e^2x

Answer 6

\[= x/2e ^{2x}|_{0}^{1} -1/2\int\limits_{0}^{1}e ^{2x}dx=\]

Answer 7

can you continue?

Answer 8

i dont understand. ='(

Answer 9

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

\[\large{\int\limits{xe^{2x}dx}=\frac{1}{2}xe^{2x}-\frac{1}{2}\int\limits{e^{2x}dx}}\]\[\int\limits{xe^{2x}dx}=\frac{1}{2}xe^{2x}-\frac{1}{4}e^{2x}\]evaluate at the limits from x=0 to 1