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<img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/CEN_GRA_C03_S01_025_S01.png" width="80%"> <br> As shown in the figure, the area bounded by `y = sin x` and `y = sin^(2)x` is equal to twice the area bounded by y = sin x and the x - axis for `x in [0, pi].` Now we know that the area bounded by y = sin x and the x axis for `x in [0, pi]` is `overset(pi)underset(0)int sin x" " dx = 2 " sq. units"` <br> Hence the required area is 4 sq. units.