`int_(0)^(pi/2)x*sinxdx`

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

int_(0)^( pi/2)x sin xdx

int_0^(pi/2) x^2sinxdx

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

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

Evaluate the following : int_(0)^(pi//2)x^(2)sinxdx

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

Show that (i) int_(0)^(pi//2)f(sinx) d x=int_(0)^(pi//2)f(cos x) d x (ii) int_(0)^(pi//2)f(tan x) d x=int_(0)^(pi//2)f(cot x) d x (iii) int_(0)^(pi//2)f(sin 2 x) sin xd x = int_(o)^(pi//2)f(sin 2x).cosx d x