Integrate the function etan-1x-1-x2

Put tan^ 1x=t ∴ nbsp; 1/1+x^2dx=dt ⇒ nbsp; ∫e^tan^ 1x/1+x^2dx=∫ e^tdt =e^t+C=e^tan^ 1x+C ...

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Integrating Factor

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Question

Integrate the function $\frac{e^{t a n^{- 1} x}}{1 + x^{2}}$

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\frac{e^{{tan}^{- 1}} x}{1 + x^{2}}

x

\int \frac{e^{{tan}^{- 1} x}}{1 + x^{2}} [{({sec}^{- 1} \sqrt{1 + x^{2}})}^{2} + {cos}^{- 1} (\frac{1 - x^{2}}{1 + x^{2}})] d x

(x > 0),

^{'} C^{'}

\int \frac{e^{{tan}^{- 1} x}}{1 + x^{2}} . d x

Integrate the following functions.
$\int \frac{e^{t a n^{- 1} x}}{1 + x^{2}} d x .$

\int \frac{e^{{tan}^{- 1} x}}{1 + x^{2}} . d x

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