Area of the region bounded by the curve y = cos x and the X-axis between x = 0 and x = is:

Question

Area of the region bounded by the curve $y = \cos x$ and the $X$ -axis between $x = 0$ and $x = π$ is:

Smart Achievers · Accepted Answer

(1)

Ans. 2 sq. units

Explanation:

$x = 0$

$= \int_{0}^{π / 2} \cos x d x - \int_{π / 2}^{π} \cos x d x$

$= {[\sin x]}_{0}^{π / 2} - {[\sin x]}_{π / 2}^{π}$

$= (1 - 0) - (0 - 1) = 2 sq. units.$

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