integral de (2x^2-5x+3)

Solución

\int (2 x^{2} - 5 x + 3) d x

\frac{2 x ^{3}}{3} - \frac{5 x ^{2}}{2} + 3 x + C

Pasos de solución

\int 2 x^{2} - 5 x + 3 d x

Aplicar la regla de la suma:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2 x^{2} d x - \int 5 x d x + \int 3 d x

\int 2 x^{2} d x = \frac{2 x ^{3}}{3}

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 3 d x = 3 x

= \frac{2 x ^{3}}{3} - \frac{5 x ^{2}}{2} + 3 x

Agregar una constante a la solución

= \frac{2 x ^{3}}{3} - \frac{5 x ^{2}}{2} + 3 x + C

5 sec (5 x)

\frac{d}{d x} (ln (5 x + 4))

x \to - 4 lim ((2 x^{3} - 3 x^{2})^{2})

\frac{d}{d x} (\frac{2 x ^{3} - 4 x ^{2} + 3}{x})

\frac{\partial}{\partial x} (- 9 e^{- 5 x y})