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Question

Given equation of the curve is y=sin x.

Using definite integral, find the area of the region between the given curve and the x-axis in the interval of [0,π].

A
1
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B
2
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C
π2
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D
π
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Solution

The correct option is B 2
The area of the region between the given curve y=sin x and the x-axis is given by
A=ydx
π0sinx dx=[(cosx)]π0
[(cos π)(cos 0)]=2

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