Question

Calcule a seguinte integral indefinida f ( 1 - 2x² ) dx

Answer 1

$\displaystyle\int \left(1~-~2x^2\right)\,dx~=\\\\\\=~\displaystyle\int \left(1\right)\,dx~-~\displaystyle\int \left(2x^2\right)\,dx\\\\\\=~\dfrac{x^{0+1}}{0+1}~-~\dfrac{2x^{2+1}}{2+1}~+~K\\\\\\=~\boxed{x~-~\dfrac{2x^3}{3}~+~K}\\\\\\\\Obs.\!:"K"~\acute{e}~uma~constante$