`"cosec"^(-1)((1+tan^(2)x)/(2tanx))`

cosec^(-1)((1+tan ^2x)/(2tanx))

cosec^(-1)((1+tan ^2x)/(2tanx))

int((1+sqrt(tanx))(1+tan^(2)x))/(2tanx)dx equals to

int((1+sqrt(tanx))(1+tan^(2)x))/(2tanx)dx equals to

"If "y=(tanx)^(cotx)+(cotx)^(tanx)",prove that "(dy)/(dx)=(tanx)^(cotx)."cosec"^(2)x(1-logtanx)+(cotx)^(tanx).sec^(2)x[log(cotx)-1].

int sin^(-1)((2tanx )/(1+tan^(2)x))dx = ?

int (tanx sec^(2)x)/((1-tan^(2)x))dx.

Show that 2 tan^-1 x = cosec^-1((1+x^2)/(2x)), 0 < |x| le 1

The value of 2tan^(-1)(cosec(tan^(-1)x)-tan(cot^(-1)x)) is equal to

inttan^(-1)((2tanx)/(1-tan^(2)x))dx=