Question

***PASOS*** de la siguiente integral:

Answer 1

Pasos....

$\displaystyleI=\int x(5x+3)~dx\\\\I=\int 5x^2+3x~dx\\\\I=\int 5x^2~dx+\int 3x~dx\\\\I=5\int x^2~dx+3\int x~dx\\\\I=5\cdot \dfrac{x^3}{3}+3\cdot \dfrac{x^2}{2}+C\\\\I=\dfrac{5x^3}{3}+\dfrac{3x^2}{2}+C\\\\I=\dfrac{10x^3}{6}+\dfrac{9x^2}{6}+C\\\\\boxed{I=\dfrac{1}{6}x^2(10x+9)+C}$