I need to find this integration for my thesis

[Akrem]

I have been trying to find the integral of the following function
Sqrt(1-x^2/d)^3/2 where d is a constant.
I need that as I am trying to find the probability of interference between two sensor nodes. I would appreciate the help. Thank you

 

[Deleted member 4993]

I have been trying to find the integral of the following function
Sqrt(1-x^2/d)^3/2 where d is a constant.
I need that as I am trying to find the probability of interference between two sensor nodes. I would appreciate the help. Thank you

Is it:

\(\displaystyle \displaystyle{\int \sqrt{\dfrac{(1-x^2)^3}{2}} dx}\)

or something else?

If it is then (using wolframalpha.com, we get,

-(Sqrt[-(-1 + x^2)^3] (x Sqrt[1 - x^2] (-5 + 2 x^2) - 3 ArcSin[x]))/(8 Sqrt[2] (1 - x^2)^(3/2))