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Question

Evaluate the integral
5π/6π/644sin2tdt

A
0
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B
2
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C
1
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D
4
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Solution

The correct option is B 2

25π6π6|cost|dt
2⎢ ⎢2π2π6costdt25π6π2costdt⎥ ⎥
2⎢ ⎢sint2π2π6(sint)25π6π2⎥ ⎥
=2[(112)(+121)]
=2[1]=2


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