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tomiko
Group Title
need help with this double integral question :)
http://gyazo.com/a3e6e7133a02d92949f4a14f0cb3961e
 one year ago
 one year ago
tomiko Group Title
need help with this double integral question :) http://gyazo.com/a3e6e7133a02d92949f4a14f0cb3961e
 one year ago
 one year ago

This Question is Closed

FutureMathProfessor Group TitleBest ResponseYou've already chosen the best response.1
What are you stuck with?
 one year ago

FutureMathProfessor Group TitleBest ResponseYou've already chosen the best response.1
\[\int\limits_{\pi}^{2\pi}\int\limits_{0}^{1}xsin(xy)dxdy\]
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
since your limits are constants; you can prolly more easily swap it for dydx
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
which proff did ... ironically :)
 one year ago

FutureMathProfessor Group TitleBest ResponseYou've already chosen the best response.1
IRONICALLY?!?! LOOOOOOOOOOL
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
\[\int\limits_{\pi}^{2\pi}\int\limits_{0}^{1}xsin(xy)~dydx\] \[\int\limits_{\pi}^{2\pi}\left(\int\limits_{0}^{1}xsin(xy)~dy\right)dx\]
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
doh ... loathesome integrals!!
 one year ago

FutureMathProfessor Group TitleBest ResponseYou've already chosen the best response.1
@amistre64 doesn't the zero to one have to stick with the dx differential though?
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
\[\int_{x=0}^{x=1}\left(\int_{y=\pi}^{y=2\pi}xsin(xy)~dy\right)dx\]
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
it tends to help me out if i label the integrals ....
 one year ago

FutureMathProfessor Group TitleBest ResponseYou've already chosen the best response.1
Isn't the general integral of that xsin(xy)/y
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
\[\int_{x=0}^{x=1}\left(\int_{y=\pi}^{y=2\pi}xsin(xy)~dy\right)dx\] \[\int_{x=0}^{x=1}cos(2\pi~x)+cos(\pi~x)~dx\]
 one year ago

FutureMathProfessor Group TitleBest ResponseYou've already chosen the best response.1
I thought you didn't have to do parts integration since your X term out front evidently doesn't have a Y in it?
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
you still have to integrate your limits respectively x = [0,1] has to address your dx y = [pi, 2pi] has to address your dy
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
the dx, dy parts tells you what you focus on while leaving the other term a constant
 one year ago

FutureMathProfessor Group TitleBest ResponseYou've already chosen the best response.1
LOLOL I forgot about that
 one year ago

FutureMathProfessor Group TitleBest ResponseYou've already chosen the best response.1
I didn't realize you were evaluating limits in your 2nd step of that response
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
let x = k int k sin(ky) dy > cos(ky) cos(x 2pi)  cos(x pi)
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.3
int cos(x pi)  cos(x 2pi) dx sin(x pi)/pi  sin(x 2pi)/2pi (sin(pi)/pi  sin(2pi)/2pi)  (sin(0 pi)/pi  sin(0 2pi)/2pi) (0  0)  (0  0) so with any luck :)
 one year ago

tomiko Group TitleBest ResponseYou've already chosen the best response.0
thanks @amistre64
 one year ago
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