I=`int _(0)^(pi/2)x/(sinx+cosx) `dx

int_(0)^(pi//2) x sinx cos x dx=?

Evaluate :- int_(0)^(pi//2)(sinx+cosx)dx

evaluate int_0^(pi/2) sinx/(sinx+cosx) dx

Evaluate: int_0^(pi//2)x/(sinx+cosx)dx

Evaluate: int_0^(pi/2) sin^2x/(sinx+cosx)dx

int _0^(pi/2) (sin^2x)/(sinx+cosx)dx

Let I=int_(kpi)^((k+1)pi)(|sin2x|)/(|sinx|+|cosx|)dx,(kepsilonN) and J=int_(0)^((pi)/(4))(dx)/(sinx+cosx) which of the following holds good?

I_(1)=int_(0)^((pi)/2)(sinx-cosx)/(1+sinxcosx)dx, I_(2)=int_(0)^(2pi)cos^(6)dx , I_(3)=int_(-(pi)/2)^((pi)/2)sin^(3)xdx, I_(4)=int_(0)^(1) In (1/x-1)dx . Then

Given int_(0)^(pi//2)(dx)/(1+sinx+cosx)=A . Then the value of the definite integral int_(0)^(pi//2)(sinx)/(1+sinx+cosx)dx is equal to

Prove that: int_0^(pi//2)(sin x)/(sinx-cosx)dx=pi/4