Draw a rough sketch of the curve `y = cos^2 x` in `[0, 1]` and find the area enclosed by the curve,the lines `x = 0, x = pi` and the x-axis.

Explanation

`y=cos ^{2} x` [0, pi]


`=int_{0}^{pi / 2} cos ^{2} x d x+int_{pi / 2}^{pi} cos ^{2} x d x `

`=frac{pi}{2}` sq. unit