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Evaluate : ∫sec^nx.tanx dx - Mathematics and Statistics

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Question

Evaluate : `intsec^nxtanxdx`

Solution

`I=intsec^(n-1)xsecxtanx dx`

Let secx=t

`therefore secxtanx dx=dt`

`I=intt^(n-1)dt`

`=t^n/n+c`

`=sec^nx/n+C`

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2013-2014 (March)

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