I've been struggling with integration by parts. Can anyone explain these problems to me? Help is very much appreciated. Thank you!
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Originally Posted by Kimmy2 I've been struggling with integration by parts. Can anyone explain these problems to me? Help is very much appreciated. Thank you! Recall that . For Q.1 let so that , and let so that . Thus . Can you now find ?
For the second problem, set and
So, I have: u=t du=dx dv=e^-t v= -e^(-t) And then: -te^(-t) - the integral from 6 to 0 of -e^(-t)dx And then if I take the integral of -e^-tdx, I get -ln(e^-t)? Is this okay, so far?
Originally Posted by Kimmy2 So, I have: u=t du=dx dv=e^-t v= -e^(-t) And then: -te^(-t) - the integral from 6 to 0 of -e^(-t)dx And then if I take the integral of -e^-tdx, I get -ln(e^-t)? Is this okay, so far? A few issues. u = t so du = dt, not dx Also
So, after I plug in all the u and v values, I'm getting: t(-e^-t) - the integral of -e^(-t) Once I integrate that last part, I'm getting: t(-e^-t) - e^(-t) Is this right?
Yes that is correct. Just plug in the bounds now.
I have plugged in the numbers multiple times, and my homework keeps telling me that I'm wrong. Some of the answers I got were: -0.1983001 and 1.01239376 EDIT! I got it, thanks so much for your help!!
Last edited by Kimmy2; November 9th 2009 at 07:52 PM.
Originally Posted by Kimmy2 I've been struggling with integration by parts. Can anyone explain these problems to me? Help is very much appreciated. Thank you! Q.1 . Q.2 .
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