Question

Integrate : ∫(cot⁡2x-csc2x)^2dx

Answer 1

recall that cot^2 x +1 = csc^2 x
so
∫(cot⁡^2 x-csc^2 x)^2dx
= ∫(cot⁡^2 x-(cot^2 + 1)^2dx
= ∫ -1 dx
take over