integral of-x^2+5x

Lösung

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

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

Schritte zur Lösung

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

Wende die Summenregel an:

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

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

\frac{\partial}{\partial x} (\frac{3 y - 6 x}{y ^{2} + 7 x ^{2}})

\int 1 - 100 x^{2} d x

\int_{0}^{\frac{π}{2}} 10 sin^{2} (3 x) d x

x \to 1 + lim (x ln (x))

\frac{d}{d x} (3 3 x^{2})