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Beliebt Rechnen >

integral of-6t^{1/2}+7

Lösung

\int - 6 t^{\frac{1}{2}} + 7 d t

Lösung

- 4 t^{\frac{3}{2}} + 7 t + C

Schritte zur Lösung

\int - 6 t^{\frac{1}{2}} + 7 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 6 t^{\frac{1}{2}} d t + \int 7 d t

\int 6 t^{\frac{1}{2}} d t = 4 t^{\frac{3}{2}}

\int 7 d t = 7 t

= - 4 t^{\frac{3}{2}} + 7 t

Füge eine Konstante zur Lösung hinzu

= - 4 t^{\frac{3}{2}} + 7 t + C

Graph

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