# Integrating nested root in denominator

1. Oct 5, 2004

### fintian

Hi Y'all,

I was trying to integrate a function in two dimesions. after integrating it in one dimesion and substituting the limits I got two terms.

I am unable to integrate the second term. That is because it had a sqare root in the denominator which contained another one within it. I took out unnecessary parameters and simplified this term to present it here.

now ____________________________________1
The function to be integrated: -------------------------------
_____________________________________________2 2
__________________________Sqrt[a + c x + b Sqrt[r - x ]]

this is equivalent to = 1/(a+b*(r^2-x^2)^(1/2)+c*x)^(1/2)

I tried using mathemetica but it just gives the input as output with an integratin symbol on it.