`int_(0)^( pi/4)(1+tan x)dx`

Evaluate the definite integrals int_(0)^((pi)/(4)tan x)dx

Evaluate the following : int_(0)^(pi//4) " tan x dx"

int_(0)^( pi/4)tan^(3)dx

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

Evaluate : int_(0)^(pi//4) tan ^(2) x dx

I=int_(0)^( pi/4)(tan^(-1)x)^(2)/(1+x^2)dx

I_(n)=int_(0)^(pi//4) tan^(n)x dx , where n in N Statement-1: int_(0)^(pi//4) tan^(4)x dx=(3pi-8)/(12) Statement-2: I_(n)+I_(n-2)=(1)/(n-1)

int_(0)^(pi//4) e^(x) (tan x+ sec^(2)x) 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