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Evaluate: int(e^(mtan^((-1)x)))/((1+x^2)...

Evaluate: `int(e^(mtan^((-1)x)))/((1+x^2)^(3setminus2))\ dx`

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Given:`int(e^(mtan^((-1)x)))/((1+x^2)^(3setminus2))\ dx`
`I=int(e^(mtan^((-1)x)))/((1+x^2)^(3/2))\ dx`
`I=e^m int (tan^(-1)x)/((1+x^2)sqrt(1+x^2))dx`
Let` tan^(-1)x=t implies (dx)/(1+x^2)=dt`
`1+x^2=sec^2x`
`I=e^m int (t)/(sec t)dt`
`I=e^m int tcos tdt`
`I=e^m [t sint-int sin tdt]`
...
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