Has this integral an analitycal solution

[TimJ]

Hi.

Does anybody know how to solve next integral:

$$\int \frac{\sqrt{(y_1-y)\cos{y}}}{\sqrt{c_1-(y_1-y)\cos{y}}} dy$$

where $$y_1$$ and $$c_1$$ are constants.

I am rewriting it, because it seems that latex is not working:

∫ (sqrt[(y_1-y) cos[y]]) / (sqrt[c_1 -(y_1-y) cos[y]]) dy

where y_1 and c_1 are constants.

 

[Cyosis]

This integral does not have a primitive according to Mathematica.