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Question

Area bounded by the curve y = sin x between x = 0 and x = 2π is


A

2 sq. unit

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B

4 sq. unit

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C
8 sq. unit
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D

None of these

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Solution

The correct option is B

4 sq. unit


We have y = sin x
x0π6π2π3π22πy00.51010
Join these points with a free hand to obtain a rough sketch

Required area = (area of OAB) + (area of BCD)
=π0 ydx+2ππ(y)dx,
( Area BCD is below x - axis)
=π0 sin x dx2ππsin x dx=4 sq.unit

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