" Evaluate "f_(0)^( pi)((tan^(-1)x)^(2))/(1+x^(2))dx

Evaluate: int_(0)^(1)x(tan^(-1)x)^(2)dx

Evaluate int_(0)^((pi)/(2))(tan^(2)x)/(tan^(2)x+cot^(2)x)dx

Evaluate: int_(0)^( pi)(dx)/(1+2^(tan x))

Evaluate: int_(0)^((pi)/(4)) (sec^(2)x)/(3 tan^(2) x+4 tan x+1)dx

Evaluate int_(0)^(pi/(3))(sec x tan x)/(1+sec^(2)) x dx

The value of I=int_(0)^((pi)/(4))(tan^(n+1)x)dx+(1)/(2)int_(0)^((pi)/(2))tan^(n-1)((x)/(2))dx is equal to-

The value of I=int_(0)^(pi//4)(tan^(*n+1)x)dx+(1)/(2)int_(0)^(pi//2)tan^(n-1)((x)/(2))dx is equal to

The value of I=int_(0)^((pi)/(4))(tan^(n+1)x)dx+(1)/(2)int_(0)^((pi)/(2))tan^(n-1)(x//2)dx is equal to

Evaluate :int_(0)^((pi)/(2))(dx)/(1+sqrt(tan x))

Show that int_(0)^((pi)/(2))(tan^(4)x)/(1+tan^(4)x)dx=(pi)/(4)