`int_0^(pi/2) xcosxdx`

Evaluate int_0^(pi/2) xcosx dx

int_0^(pi/2) cos^5xdx

Evaluate: int_0^(pi/2) xcotx dx

int_0^(pi/2) e^-xcosxdx

(i) int_0^(pi//2) cos x dx (ii) int_(-pi//2)^(pi//2) cos x dx (iii) int_0^(pi//2) cos 2x dx

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

int_0^(pi/2) x^2sinxdx

(i) int_0^(pi//2) sin^2 dx =pi/4 (ii) int_0^(pi//2) cos^2x dx=pi/4 (iii) int_(-pi//4)^(pi//4) sin^2 x dx=pi/4-1/2 (iv) int_(-pi//4)^(pi//4) cos^2x dx=pi/4+1/2

int_0^(pi/2) sin x dx

int_0^pi xcos^2xdx