i need help with a problem in multivariable calc Calculate the double integral.
Calculate the double integral.
x/(x^2 + Y^2) under the region (in the x y plane R = x:[1,2] and y:[0,1] How would you get the value of the integral... i tried integration by parts but i thinks it is getting a little too complicated whats the solution?

Question

i need help with a problem in multivariable calc Calculate the double integral. 
Calculate the double integral. 
x/(x^2 + Y^2) under the region (in the x y plane R = x:[1,2] and y:[0,1] How would you get the value of the integral... i tried integration by parts but i thinks it is getting a little too complicated whats the solution?

amistre64 · Answer

would you solve for x while y is a constant; and then solve for y while x is a constant ?  I have enough issues trying to solve single integrals :)

amistre64 · Answer

FSU eh.... im currently going thru PHCC.... down here by USF :)

anonymous · Answer

well wouldnt is simplify  the integral of that would be 1/2 the ln(x^2 +y^2) right
if i take the integral w/ respect to  x first then i plug in the bounds then i integrate with respect to y thats when it gets messy

anonymous · Answer

Hey you should solve it using polar coordinates.. set
$$x=r \cos \theta, y=r \sin \theta \implies x^2+y^2=r^2$$