" For "theta in(0,(pi)/(2))," prove that "int_(0)^( theta)log(1+tan theta tan x)dx=theta log(sec theta)

For theta in(0,(pi)/(2)), provethat int_(0)^( theta)log(1+tan theta tan x)dx=theta log(sec theta)

For theta in (0,pi/2) , prove that int_0^theta"log"(1+tanthetatanx)dx=thetalog(sectheta)

For theta in (0,pi/2) , prove that int_0^theta"log"(1+tanthetatanx)dx=thetalog(sectheta)

int_(0)^( theta)log(1+tan^(2)theta)dx

For theta in(0,(pi)/(2)), the value of definite integral int_(0)^( theta)ln(1+tan theta tan x)dx is equal to

prove that 1+tan theta tan2 theta=sec2 theta

Prove that int_(0)^( pi/2)log(tan theta+cot theta)backslash d theta=pi log2

Evaluate int_(0)^(pi//4) log (1+tan theta)d theta

Evaluate int_(0)^(pi//4) log (1+tan theta)d theta

Prove that :1+tan theta tan2 theta=sec2 theta