Find the area of the region bounded by the curve $y = cos x$ lying between the ordinates $x = 0, x = π$ & the $x - a x i s$ .

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Solution

Area is given by $\int_{0}^{π} cos x d x \int_{0}^{\frac{π}{2}} cos x d x + \int_{\frac{π}{2}}^{π} cos x d x {| sin x |}_{0}^{\frac{π}{2}} - {| sin x |}_{\frac{π}{2}}^{π} s i n \frac{π}{2} - s i n 0 - sin π + sin \frac{π}{2} 1 + 0 - 0 + 1 = 2$

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