Question

How do I evaluate `int_(pi/2)^pi5 csc(x) dx`?

Answer 1

I am not sure you can solve this...I mean, your function `5csc(x)=5/sin(x)`, when `x=pi` goes towards infinity...so, the área underneath it cannot be finite!

I gave a shot to the integral anyway:

If you now substitute the value of `pi` for your integral you hit the problem.