Question

integral de x de 2e^(xy)

Answer 1

Oi . Fiz dessa forma integrando em relação a dx:

$\int\limits {2e^{xy}} \, dx \\ \\ 2\int\limits {e^{xy}} \, dx \ \ \ \ u=xy \ \ \ \ \ \frac{du}{dx}=y \ \ \ \ dx=du/y \\ \\ 2\int\limits {e^{u}} \frac{du}{y} \\ \\ \frac{2}{y} \int\limits {e^{u}}du \\ \\ \frac{2}{y} e^{u}+C \\ \\ \frac{2e^{xy}}{y}+C$