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Evaluate: int(e^(tan^(-1) x))/(1+x^2)\ d...

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

Text Solution

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`=int(e^(tan^(-1)x))/(1+x^2)\ dx`

`tan^(-1)x=t`

`(1)/(1+x^2)dx=dt`

`=int(e^(t))dt`

`=e^(t)+C`
`=e^(tan^(-1)x)+C`
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