I'm having trouble integrating, I'm supposed to use the F(r(t)) [dot] r'(t) form for integration, right?
the theorem says
but we also know that
Thus you have
where is the curve i parameterized for you. you can find the integral on the left (similar to the way you pointed out, except you do not want big F), and you know the value of so you can find
where is the curve i parameterized for you. you can find the integral on the left (similar to the way you pointed out, except you do not want big F), and you know the value of so you can find
I know I must sound really stupid right now, but I knew all of that, I just been having a heck of a time integrating . I know that I use the given function and the parameterization you graciously gave me and plug it in, but I just can't integrate the resulting functions!
I know I must sound really stupid right now, but I knew all of that, I just been having a heck of a time integrating . I know that I use the given function and the parameterization you graciously gave me and plug it in, but I just can't integrate the resulting functions!
the curve is for . and so,
so that
can you finish now? (or did you know that already?)
can you finish now? (or did you know that already?)
tell me the integral you ended up with
I did already know that... the only integral I can't solve is 10t^3e^t^2 (sorry, I don't know how to use the math function properly, hopefully you get my idea), the first integral. Is that integral wrong?
I did already know that... the only integral I can't solve is 10t^3e^t^2 (sorry, I don't know how to use the math function properly, hopefully you get my idea), the first integral. Is that integral wrong?
(why didn't you say that from the beginnining?)
to integrate , make a substitution , then the integral becomes . which you can do by parts (relatively) easily
Last edited by Jhevon; November 16th 2008 at 04:07 PM.
to integrate , make a substitution , then the integral becomes . which you can do by parts (relatively) easily
Oh man, thank you so much! I'm in calc for engineers, so we don't do complex integrals anymore, I had forgotten. Thank you so so much for your time and patience!!
Oh man, thank you so much! I'm in calc for engineers, so we don't do complex integrals anymore, I had forgotten. Thank you so so much for your time and patience!!
don't mention it. and say "complicated integrals", "complex integrals" actually refers to a special class of integrals--not the type we're doing now