Question: Unable to integrate function

I hope someone can help me.

I'm trying to integrate the following equation:

sin(v))*sqrt(cos(t)^2+4*sin(v)*sin(t)*cos(v)*cos(t)*sin(w)+4*cos(v)^2-cos(w)^2*cos(t)^2+cos(t)^2*cos(v)^2*cos(w)^2-5*cos(t)^2*cos(v)^2)

The boundaries are
v=0..1/2*Pi
w=0..2*Pi

 

I've tried evalf and simplify, but none of those worked. Does someone know how to solve this one?

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