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Question

The area bounded by y=sin(π2x), x=0,y=0 and x=43 is

A
6π
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B
3π
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C
2π
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D
9π
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Solution

The correct option is B 3π

The area bounded
=430sin(π2x) dx=2π[cos(π2x)]4/30=2π[cos2π31]=2π×32=3π

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