The value of the definite integral `1/pi int_(pi/2)^((5pi)/2) e^(tan^(-1)(sinx))/(e^(tan^(-1)(sinx))+e^(tan^(-1)(cosx))) dx` is

The value of the definite integral (1)/(pi)int_((pi)/(2))^((5 pi)/(2))(e^(tan^(-1)(sin x)))/(e^(tan^(-1)(sin x)+e^(tan^(-1)(cos x)))dx is )

Evaluate the definite integrals int_(0)^((pi)/(2))sin2x tan^(-1)(sin x)dx

The value of the definite integral int_(pi//24)^(5pi//24)(dx)/(1+root(3)(tan2x)) is :

The value of the definite integral int_(2pi)^(5pi//2)(sin^(-1)(cosx)+cos^(-1)(sinx))dx is equal to

Evaluate the definite integrals int_((pi)/(2))^(pi)e^(x)((1-sin x)/(1+cos x))dx

The value of the definite integral int_(t+2pi)^(t+5pi//2) {sin^(-1)(cosx)+cos^(-1)(cosx)} dx is equal to

The value of the definite integral int_(0)^((pi)/(3))ln(1+sqrt(3)tan x)dx equals -

The value of the definite integral int_(0)^(pi//3) ln (1+ sqrt3tan x )dx equals