`(tanx-cotx)^(2)`

Evaluate the following integrals: int(2tanx-3cotx)^(2)dx

Evaluate the following integrals: int(2tanx-3cotx)^2 dx

Evaluate: int(2tanx-3cotx)^2\ dx

If f(x)=(log_(cotx)tanx)(log_(tanx)cotx)^(-1) +tan^(-1)((4x)/(sqrt(4-x^(2)))) , then f'(0) is equal to

If f(x)=(log_(cotx)tanx)(log_(tanx)cotx)^(-1) +tan^(-1)((x)/(sqrt(4-x^(2)))) , then f'(0) is equal to

A:int_(0)^(pi//2)(5tanx-3cotx)/(tanx+cotx)dx=(pi)/(2)" "R:int_(0)^(pi//2)(atanx+bcotx)/(tanx+cotx)dx=(a+b)(pi)/(2)

d/(dx)[(tanx-cotx)/(tanx+cotx)]=

int_(0)^(pi//2)(5tanx-3cotx)/(tanx+cotx)dx=

intdx/(4tanx+4cotx)

intdx/(4tanx+4cotx)