integral of (6x^2-7x+5)

Lösung

\int (6 x^{2} - 7 x + 5) d x

2 x^{3} - \frac{7 x ^{2}}{2} + 5 x + C

Schritte zur Lösung

\int 6 x^{2} - 7 x + 5 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 6 x^{2} d x - \int 7 x d x + \int 5 d x

\int 6 x^{2} d x = 2 x^{3}

\int 7 x d x = \frac{7 x ^{2}}{2}

\int 5 d x = 5 x

= 2 x^{3} - \frac{7 x ^{2}}{2} + 5 x

Füge eine Konstante zur Lösung hinzu

= 2 x^{3} - \frac{7 x ^{2}}{2} + 5 x + C

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