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Beliebt Rechnen >

integral of (4cosh(x)+x^6)

Lösung

\int (4 cosh (x) + x^{6}) d x

Lösung

4 sinh (x) + \frac{x ^{7}}{7} + C

Schritte zur Lösung

\int 4 cosh (x) + x^{6} 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 4 cosh (x) d x + \int x^{6} d x

\int 4 cosh (x) d x = 4 sinh (x)

\int x^{6} d x = \frac{x ^{7}}{7}

= 4 sinh (x) + \frac{x ^{7}}{7}

Füge eine Konstante zur Lösung hinzu

= 4 sinh (x) + \frac{x ^{7}}{7} + C

Graph

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