Question

Hi, i want to calculate analytically a double integral in polar coordinates? i need to plot the diagram of the function in terms of a variable. thanks

Answer 1

Maybe you can show your double integral?

Answer 2

your integral after the variable change will become:
\[\int\limits f(x,y)dxdy=\int\limits f(r\cos\theta,r\sin\theta)rdrd\theta\]

Answer 3

\[w_c^2/2\pi \int\limits_{0}^{2\pi}\int\limits_{0}^{10}[1-u(r^2-2rD \cos \phi+D^2)^2](1+w_c^2r^2)^(-3/2) rdrd\] i want to plot this integral in terms of r for different values of D and for example w_c=3000 and u=0.66?

Answer 4

(-3/2) is the power for the parenthesis and the last variable is \[d\phi]

Answer 5

I would say, solve the integral first

Answer 6

yes i tried that, i take integral on \phi and made a one integral on r but this give me numerical response i need to do it in matlab

Answer 7

sry, no idea about mathlab

Answer 8

thanks, yes i think that i should have a matlab program to plot it

Answer 9

can you please explain me your method?