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Beliebt Rechnen >

integral of (x^6+2x^5+3x^4)

Lösung

\int (x^{6} + 2 x^{5} + 3 x^{4}) d x

Lösung

\frac{x ^{7}}{7} + \frac{x ^{6}}{3} + \frac{3 x ^{5}}{5} + C

Schritte zur Lösung

\int x^{6} + 2 x^{5} + 3 x^{4} 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 x^{6} d x + \int 2 x^{5} d x + \int 3 x^{4} d x

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

\int 2 x^{5} d x = \frac{x ^{6}}{3}

\int 3 x^{4} d x = \frac{3 x ^{5}}{5}

= \frac{x ^{7}}{7} + \frac{x ^{6}}{3} + \frac{3 x ^{5}}{5}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{7}}{7} + \frac{x ^{6}}{3} + \frac{3 x ^{5}}{5} + C

Graph

Beliebte Beispiele

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\int \frac{x}{- 4 x ^{2} + 9} d x

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