surface integrals for sphere
I am having trouble integrating this one ...especially because there is (sinθsinφsin2φ)/2.. when one tries to integrate the following ..
φ:-pi/2 to to pi/2
theta :0 to pi/2
How does one integrate this... ??
Re: surface integrals for sphere
That " " looks peculiar. Is it really [tex]sin^2(\theta)[itex] or did you mean to write "[tex]sin(\theta)cos(\theta)[/itex]"?
Either way, it's a pretty straightforward integral.
Of course, the integral of "[tex]cos(\phi)[/itex]" is " " and to integrate " " use the identity .
If you intended rather than ,
Of course, the integral of " " is " " and to integrate " " use the substitution .