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Evaluate: Int Tan^3"X""D""X" - Mathematics

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Question

Evaluate: ` int tan^3x "dx"`

Sum
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Solution

`int tan^3 x "dx" = int tan"x"(tan^2"x") "dx"`

`= int tan"x"  (sec^2"x"-1)  "dx"`

`= int tan"x"sec^2"x"  "dx"- int tan"x"  "dx"`

`=tan^2 "x"/2 + log  |cos "x"| +"C"`

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2015-2016 (March)

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