Evaluate: `intcot^n xcos e c^2xdx ,n!=-1`

Explanation

We have given,

`intcot^n xcos e c^2xdx ,n!=-1`

Let

`I=intcot^n xcos e c^2xdx`

`I=int(cotx)^ncos e c^2xdx`

Now take

`t=cotx⇒dt=−cosec^2xdx`

`I=-int t^ndt`

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