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

Lösung

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

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

Schritte zur Lösung

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

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

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

\int 5 d x = 5 x

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

Füge eine Konstante zur Lösung hinzu

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

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