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 x0π6π2π3π22πy00.510−10 Join these points with a free hand to obtain a rough sketch Required area = (area of OAB) + (area of BCD) =∫π0ydx+∫2ππ(−y)dx, (∵ Area BCD is below x - axis) =∫π0sinxdx−∫2ππsinxdx=4sq.unit