Question

integral de [5x + 2/3x^5] dx = ?

Answer 1

$\displaystyle I=\int\frac{5x+2}{3x^5}dx\\ \\ \\ I=\frac{5}{3}\int x^{-4}dx+\frac{2}{3}\int x^{-5}dx\\ \\ \\ I=\frac{5}{3}\cdot (\frac{x^{-5}}{-5})+\frac{2}{3} \cdot \frac{x^{-6}}{-6}+C\\ \\ \\ \boxed{I=-\frac{1}{3x^5}-\frac{1}{9x^6}+C}$