integral of 5x^2+9x-6

Lösung

\int 5 x^{2} + 9 x - 6 d x

\frac{5 x ^{3}}{3} + \frac{9 x ^{2}}{2} - 6 x + C

Schritte zur Lösung

\int 5 x^{2} + 9 x - 6 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 5 x^{2} d x + \int 9 x d x - \int 6 d x

\int 5 x^{2} d x = \frac{5 x ^{3}}{3}

\int 9 x d x = \frac{9 x ^{2}}{2}

\int 6 d x = 6 x

= \frac{5 x ^{3}}{3} + \frac{9 x ^{2}}{2} - 6 x

Füge eine Konstante zur Lösung hinzu

= \frac{5 x ^{3}}{3} + \frac{9 x ^{2}}{2} - 6 x + C

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