high degree integral of trigo functions

[Eliko]

hi!
Idk to know how to solve the integral in the ".jpg" file.
Please help me, I really don't know how to solve it.

 

[Ishuda]

hi!
Idk to know how to solve the integral in the ".jpg" file.
Please help me, I really don't know how to solve it.

I'm not sure but I might write the integrand as
\(\displaystyle \frac{1}{1 + cot^{100}(x)}\)
and use a substitution of u = cot(x). I'm not sure it will do any good though.