Evaluate int_(0)^((pi)/2)(sin3x)/(sinx+cosx) dx .

G i v e nint_0^(pi/2)(dx)/(1+sinx+cosx)=log2. Then the value of integral int_0^(pi/2)(sinx)/(1+sinx+cosx)dx is equal to (a) 1/2log2 (b) pi/2-log2 (c) pi/4-1/2log2 (d) pi/2+log2

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/2)(sinx-cosx)/(1+sinxcosx)dx

The value of the definite integral, int_0^(pi/2) (sin5x)/sinx dx is

Evaluate: int_(0)^(pi/4)(1)/(sinx+cosx) dx.

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

Evaluate int_(0)^(pi)(sin 6x)/(sinx) dx .

Evaluate int_(0)^((pi)/(2)) (sinx)/(4+cos^2 x)dx .

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

The value of I=int_(0)^(pi)x(sin^(2)(sinx)+cos^(2)(cosx))dx is