int_(0)^(3/2)|x sin pi x|dx

Evaluate: int_0^(3//2) |x sin pi x| dx .

(i) Show that int_(0)^(pi)xf(sinx)dx =(pi)/(2)int_(0)^(pi)f (sin x)dx. (ii) Find the value of int_(-1)^(3//2)|x sin pix|dx .

Arrange the following according to their values in ascending order A) int_(0)^(pi) |sin x| dx B) int_(0)^(2pi) |sin x | dx C) int_(0)^(3pi) |sin x| dx

The value of int_(0)^(2) 3x^(2)dx+int_(0)^(pi//2) sin x dx is :-

If I_(1)=int_(0)^(pi//2)"x.sin x dx" and I_(2)=int_(0)^(pi//2)"x.cos x dx" , then

The value of the integral int_(0) ^(pi//2) sin ^3 x dx is :

The value of the integral int_(0) ^(pi//2) sin ^3 x dx is :