Question

How do I integrate this?

Answer 1

I tried using u=x? What should u be?

Answer 2

Hint: what do you get when you take the derivative of \[\cot x = \frac{\cos x}{\sin x}\]

Answer 3

Derivative of cot x? =-(arccsc x)^2

Answer 4

Not arccsc, but rather \[-\csc^2 x = \frac{-1}{\sin^2x}\]