Question

How do you integrate `int(1/2)cscpitcotpitdt`?

Answer 1

You can try first to change your functions as:
`csc(x)=1/sin(x)` and
`cot(x)=cos(x)/sin(x)`
so you can write:

Where at the end you integrate `sin^(-2)(pit)` as `x^(-2)` in a normal integral.