`int_0^(pi/2) x^2sinxdx`

int_0^(pi/2) sin x dx

Consider I_1=int_0^(pi/4)e^x^2dx ,I_2=int_0^(pi/4)e^x dx ,I_3=int_0^(pi/4)e^x^2cosxdx ,I_4=int_0^(pi/4)e^x^2sinxdxdot STATEMENT 1 : I_2> I_1> I_3> I_4 STATEMENT 2 : For x in (0,1),x > x^2a n dsinx >cosxdot

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

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

(i) int_0^(pi/2) sin^2 x dx (ii) int_0^(pi//2) cos^2 x dx

If int_0^pi x f(sinx) dx=A int_0^(pi/2) f(sinx)dx , then A is (A) pi/2 (B) pi (C) 0 (D) 2pi

Evaluate int_0^(pi/2) cos^2x dx

int_(0)^(pi//4)x^(2)sinxdx

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