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Integrate the following functions e^(tan...

Integrate the following functions `e^(tan^-1 x)/(1+x^2)`

Text Solution

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Let t = `tan^-1x`. Then dt = `1/(1+x^2) dx`
therefore` int e^(tan^-1x)/(1+x^2) dx = int e^x dt`
=`e^t+c = e^(tan^-1x) +c`
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