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Question

π40 sec7 θ sin3 θ dθ=

A
112
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B
312
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C
512
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D
None of these
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Solution

The correct option is C 512
π40 sec7 θ sin3 θ dθ=π40sin3 θcos3 θ.sec4θ dθ
Putting tan θ = t, it reduces to
10t3(1+t2)dtt44+t6610=512

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