The area bounded by the curve $y = sin x$ , $x$ - axis between the ordinates $x = - π, x = π$ is:

2

sq. units

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3

sq. units

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4

sq. units

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\frac{1}{2}

sq. units

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Solution

The correct option is D $4$ sq. units
$y = sin x$
Area of shaded region= $2 π \int 0 sin x d x$
$= - 2 cos x |_{0}^{π}$
$= - 2 (- 1 - 1)$
$= 4 s q u n i t s$ .

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