" (iii) "int_(0)^( pi/2)(1)/(1+tan^(3)x)dx

int_(0)^( pi/2)(dx)/(1+tan^(5)x)

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

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

The value of int_(0)^(pi//2) (1)/(1+tan^(3)x)dx is

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

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

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

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

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