Integrate :

Question

Integrate :

hba · Answer

$$\int\limits_{}^{}xe ^{x}dx=$$

shubhamsrg · Answer

go for by parts..

hba · Answer

i dont know integration by parts

hartnn · Answer

or u can use 
$\int e^x(f(x)+f'(x))dx=e^xf(x)+c$

hba · Answer

@hartnn  Can You Show Me How to Do This Because I am Confused ?

hartnn · Answer

f(x)=x-1

anonymous · Answer

use by parts integration

by parts is 
$$\Large \int\limits_{}^{}udv=vu-\int\limits_{}^{}vdu$$
here 
dv=e^x  so v=e^x
u=x       so du =1

shubhamsrg · Answer

or you may try logically,,

see,, d/dx(x e^x) = xe^x + e^x

=>d(x e^x) = (x e^x)dx  + e^x dx

now integrate both sides..

=>xe^x = integral(x e^x) + e^x

you may now solve for integral (x e^x) dx ..

hope it helps..

hartnn · Answer

$\large \int e^xxdx=\int e^x(x-1+1)dx=e^x(x-1)+c$

shubhamsrg · Answer

i missed a constant in the end,,make that correction..

hartnn · Answer

note  derivative of x-1 is 1

hba · Answer

Can you guys show Integration by parts ??

hartnn · Answer

sami showed it nicely, which part did u not understand ?

hba · Answer

Actually i was telling to use it to solve this question

hartnn · Answer

so now could u do it by yourself? with the procedure given by sami ?

hba · Answer

No leave it @hartnn  I got it Thanks Alot Everyone :)

hartnn · Answer

intergration by parts will be very useful.......

hba · Answer

I know But I never concentrated bcz i had jaundice when integration was being taught in college :(