इन समाकलनो का मान कीजिएः
`int_(0)^(pi//2) cos^(2)xdx`

Explanation

`underset(0)overset(pi//2)int cos^(2)xdx`
`underset(0)overset(pi//2)int ((1+cos2x)/(2))dx`
`1/3underset(0)overset(pi//2)int (1+cos 2x)dx`
`=1/2[x+(sin 2x)/(2)]_(0)^(pi//2)`
`=1/2[{pi/2+(sin(pi))/(2)}-{0+(sin 0)/(2)}]`
`=1/2[[pi/2+0-0]=pi/4`