`int_(0)^(pi)x*sinxdx`

Evaluate: int_(0)^(pi//2)sinxdx

Consider the integrals A = int_(0)^(pi) (sinxdx)/(sinx + cos x) and B = int_(0)^(pi) (sinxdx)/(sinx - cos x) What is the value of B ?

Consider the integrals A = int_(0)^(pi) (sinxdx)/(sinx + cos x) and B = int_(0)^(pi) (sinxdx)/(sinx - cos x) Which one of the following is correct ?

(5)Value of int_(0)^(2)3x^(2)dx+int_(0)^(pi//2)sinxdx is

int_(0)^(pi) sin 3x dx

int_0^(pi/2) x^2sinxdx

If I_(n)=int_(0)^(pi)x^(n)sinxdx , then find the value of I_(5)+20I_(3) .

int_(0)^( pi)xf(sin x)dx=(pi)/(2)int_(0)^( pi)f(sin x)dx

If int_(0)^(pi)x f(sin x) dx = a int_(0)^(pi)f (sin x) dx , then a =