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Beliebt Rechnen >

integral of 12x^3-cos(7x)

Lösung

\int 12 x^{3} - cos (7 x) d x

Lösung

3 x^{4} - \frac{1}{7} sin (7 x) + C

Schritte zur Lösung

\int 12 x^{3} - cos (7 x) 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 12 x^{3} d x - \int cos (7 x) d x

\int 12 x^{3} d x = 3 x^{4}

\int cos (7 x) d x = \frac{1}{7} sin (7 x)

= 3 x^{4} - \frac{1}{7} sin (7 x)

Füge eine Konstante zur Lösung hinzu

= 3 x^{4} - \frac{1}{7} sin (7 x) + C

Graph

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