Question about the q-series and integral of a function

[harsha_jois]

Integral of a function

Hi all could you find some thing about the q-series?
Thats ok.
I've got a new problem.
How to get the integral of this?∫dθ/√(1-k²sin²θ)
thank you.

 

[jcy]

Re: Integral of a function

Hi,

If I'm not mistaken, it looks like an Elliptic integral to me. You cannot integrate it analytically, so you will have to integrate it numerically. There are a number of good polynomial approximations for the elliptic integral if the limits (which you did not put) are nice and the value of "k" is within certain ranges. These can be found in Abramowitz & Stegun's handbook in the elliptic integral chapter. Or you can use a nuemrical integration package.

John

 

[aspedisca]

Re: Integral of a function

**broken link removed**

 

[harsha_jois]

Re: Integral of a function

Thanks. Thanks verymuch.
The problem begs a generic sollution john. Thats why I could not get one.
Within numerical limits It would be great. And Thanks aspedisca for the link.