Question

resolver la integral
i(a-x2)2dx

Answer 1

Respuesta:

$\int \left(a-x^2\right)\cdot \:2dx=2\left(ax-\frac{x^3}{3}\right)+C$

Explicación paso a paso:

$\int \left(a-x^2\right)\cdot \:2dx\\2\left(\int \:adx-\int \:x^2dx\right)\\2\left(\int \:adx-\int \:x^2dx\right)\\\int \:adx = ax\\2\left(ax-\frac{x^3}{3}\right)\\= 2\left(ax-\frac{x^3}{3}\right)+C\\\\= 2ax -\frac{2}{3} x^{3} + c$