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Question: The area bounded by the \(x -\)axis and the curve \(y = \sin x\) and \(x = 0\) \(x = \pi\) is...

The area bounded by the xx -axis and the curve y=sinxy = \sin x and x=0x = 0 x=πx = \pi is

A

1

B

2

C

3

D

4

Answer

2

Explanation

Solution

The curve is symmetric about x-axis,

∴ Shaded area ∴

=20π/2sinxdx=2[cosx]0π/2=2= 2 \int _ { 0 } ^ { \pi / 2 } \sin x d x = 2 [ - \cos x ] _ { 0 } ^ { \pi / 2 } = 2.