Question Number 45974 by maxmathsup by imad last updated on 19/Oct/18
![calculate A_n =∫_0 ^n e^(−n[x]) sin (2x)dx 2)study the cnvergence of Σ A_n](https://www.tinkutara.com/question/Q45974.png)
$${calculate}\:\:{A}_{{n}} =\int_{\mathrm{0}} ^{{n}} \:\:\:{e}^{−{n}\left[{x}\right]} \:{sin}\:\left(\mathrm{2}{x}\right){dx} \\ $$$$\left.\mathrm{2}\right){study}\:{the}\:{cnvergence}\:{of}\:\Sigma\:{A}_{{n}} \\ $$