Find \(\int \frac{e^{-cot^{-1}⁡x}}{1+x^2}\).

Discussion

Find \(\int \frac{cos^{-1}x}{\sqrt{1-x^2}} dx\).
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Find the integral of \(\frac{5x^4}{\sqrt{x^5+9}}\).
Find \(\int \frac{e^{-cot^{-1}⁡x}}{1+x^2}\).
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