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Beliebt Rechnen >

integral of 10000(t-6)

Lösung

\int 10000 (t - 6) d t

Lösung

10000 (\frac{t ^{2}}{2} - 6 t) + C

Schritte zur Lösung

\int 10000 (t - 6) d t

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 10000 \cdot \int t - 6 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

= 10000 (\int t d t - \int 6 d t)

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

\int 6 d t = 6 t

= 10000 (\frac{t ^{2}}{2} - 6 t)

Füge eine Konstante zur Lösung hinzu

= 10000 (\frac{t ^{2}}{2} - 6 t) + C

Graph

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