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Beliebt Rechnen >

integral of t^2-4t-12

Lösung

\int t^{2} - 4 t - 12 d t

Lösung

\frac{t ^{3}}{3} - 2 t^{2} - 12 t + C

Schritte zur Lösung

\int t^{2} - 4 t - 12 d t

Wende die Summenregel an:

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

= \int t^{2} d t - \int 4 t d t - \int 12 d t

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

\int 4 t d t = 2 t^{2}

\int 12 d t = 12 t

= \frac{t ^{3}}{3} - 2 t^{2} - 12 t

Füge eine Konstante zur Lösung hinzu

= \frac{t ^{3}}{3} - 2 t^{2} - 12 t + C

Graph

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