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Question

tanmxsec2xdx

A
tanmxm.
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B
secm+1xm+1.
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C
tanm+1xm.
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D
tanm+1xm+1.
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Solution

The correct option is B tanm+1xm+1.
Let I=tanmxsec2xdx
Put tanx=tsec2xdx=dt
Therefore
I=tmdt=tm+1m+1=tanm+1xm+1
Hence, option 'D' is correct.

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