Question Number 136283 by JulioCesar last updated on 20/Mar/21
Answered by Ar Brandon last updated on 20/Mar/21
![∫e^(g(x)) [f(x)g′(x)+f ′(x)]dx=e^(g(x)) f(x)](https://www.tinkutara.com/question/Q136314.png)
$$\int\mathrm{e}^{\mathrm{g}\left(\mathrm{x}\right)} \left[\mathrm{f}\left(\mathrm{x}\right)\mathrm{g}'\left(\mathrm{x}\right)+\mathrm{f}\:'\left(\mathrm{x}\right)\right]\mathrm{dx}=\mathrm{e}^{\mathrm{g}\left(\mathrm{x}\right)} \mathrm{f}\left(\mathrm{x}\right) \\ $$