What is the antiderivative of -cscxcotx?

Answer 1

First, antiderivative = a solution to the indefinite integral

therefore to integrate -(csc(x))(cot(x)) first convert it to -cos(x)/sin2(x)

To integrate ∫-cos(x)/sin2(x) dx, use substitution u = sin(x) and du/dx = cosx

This will make it ∫-1/u2 du and the antiderivative is 1/u +c, therefore the answer is 1/sin(x) + c.