# Thread: Use integration by parts: xe^x dx within limits 0-0.6

1. ## Use integration by parts: xe^x dx within limits 0-0.6

Essentially thats it, I have to estimate with the trapezium rule (I can do this)

then confirm with the integration by parts of

xe^xdx

but I just keep going round in circles.

Help!

Thanks

2. ## Re: Use integration by parts: xe^x dx within limits 0-0.6

ha, Ive just done it! No bother.

3. ## Re: Use integration by parts: xe^x dx within limits 0-0.6

Originally Posted by tjnortham
Essentially thats it, I have to estimate with the trapezium rule (I can do this)

then confirm with the integration by parts of

xe^xdx

but I just keep going round in circles.

Help!

Thanks
$\displaystyle u = x$ ... $\displaystyle dv = e^x \, dx$

$\displaystyle du = dx$ ... $\displaystyle v = e^x$

$\displaystyle \int u \, dv = uv - \int v \, du$

now ... where is your problem?

4. ## Re: Use integration by parts: xe^x dx within limits 0-0.6

thanks, I was putting v=x and du/dx as e^x and kept coming back with the original integration problem as the vdu/dx part.