Problem in vector calculus

1. Dec 28, 2008

sunny11119

I am having problems in finding the limits in surface integral.. for example in case of sphere what will be the limits of theta and phi. somebody please answer quickly. Thanks

2. Dec 28, 2008

tiny-tim

Welcome to PF!

Hi sunny11119! Welcome to PF!

theta goes from 0 to π, and phi from 0 to 2π

(or you can do it the other way round )

3. Dec 28, 2008

HallsofIvy

Staff Emeritus
If you are using the standard mathematics notation, where $\theta$ measures "longitude" and $\phi$ measure "co-latitude", then to cover the entires sphere $\theta$ varies from 0 to $2\pi$ and $\phi$ from 0 to $\pi$. "Engineering notation" reverses $\theta$ and $\phi$. Of course, if you want to cover only a part of a spherical surface, that's another matter.