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

• Jun 16th 2011, 04:37 AM
tjnortham
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
• Jun 16th 2011, 04:41 AM
tjnortham
Re: Use integration by parts: xe^x dx within limits 0-0.6
ha, Ive just done it! No bother.
• Jun 16th 2011, 04:42 AM
skeeter
Re: Use integration by parts: xe^x dx within limits 0-0.6
Quote:

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

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

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

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

now ... where is your problem?
• Jun 16th 2011, 04:53 AM
tjnortham
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.