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

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

(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 .

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

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

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

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

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