Question

∫(x 3 + 3x 2 − x)dx calcular integral

Answer 1

Respuesta:

$\frac{x^{2}}{2}(\frac{x^{2} }{2}+2x-1) +c$

Explicación:

$\int\ ( {x^{3}+3x^{2} -x) } \, dx \\\\\int\ {x^{3} } \, dx + \int\ {3x^{2} } \, dx - \int\ {x} } \, dx\\\\\frac{1}{4}(x^{4} )+\frac{3}{3}(x^{3})-\frac{1}{2}(x^{2}) +c\\\\\frac{x^{2}}{2}(\frac{x^{2} }{2}+2x-1) +c$