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Question Number 43156 by MASANJA J last updated on 07/Sep/18

$$integratew.r.tx$$$$\int \frac{{xe}^x}{\sqrt{1+x^2}}dx$$

Answered by tanmay.chaudhury50@gmail.com last updated on 09/Sep/18

$$x=tan\alpha dx={sec}^2\alpha d\alpha$$$$\int \frac{tan\alpha .e^{tan\alpha }.{sec}^2\alpha }{sec\alpha }d\alpha$$$$\int e^{tan\alpha }\left(tan\alpha sec\alpha \right)d\alpha$$$$\int e^{tan\alpha }d\left(sec\alpha \right)$$$$contd...$$$$$$

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