`int_0^(pi/2) 1/(1 + cot^3x )`dx

Evaluate the following integral: int_0^(pi//2)1/(1+tan^3x)dx

Evaluate the following integral: int_0^(pi//2)1/(1+tan^3x)dx

int_0^(pi/2)1/(1+tan^2x)dx

Evaluate: int_0^(pi//2)1/(3+2cosx)dx

The value of int_(0)^(pi//2n) (1)/(1+cot nx)dx , is

Statement-1: int_(0)^(pi//2) (1)/(1+tan^(3)x)dx=(pi)/(4) Statement-2: int_(0)^(a) f(x)dx=int_(0)^(a) f(a+x)dx

int_(0)^(pi//2) (1)/(4+3 cos x)dx

Prove that : int_(0)^(pi//2) x . cot x dx =(pi)/(2)log 2

Statement-1: int_(0)^(pi//2) x cot x dx=(pi)/(2)log2 Statement-2: int_(0)^(pi//2) log sin x dx=-(pi)/(2)log2

Prove that : int_(0)^(pi//2) (dx)/(1+cot x)=(pi)/(4)