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Beliebt Rechnen >

integral of (4x^5+5x^3+11)

Lösung

\int (4 x^{5} + 5 x^{3} + 11) d x

Lösung

\frac{2 x ^{6}}{3} + \frac{5 x ^{4}}{4} + 11 x + C

Schritte zur Lösung

\int 4 x^{5} + 5 x^{3} + 11 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 x^{5} d x + \int 5 x^{3} d x + \int 11 d x

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

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

\int 11 d x = 11 x

= \frac{2 x ^{6}}{3} + \frac{5 x ^{4}}{4} + 11 x

Füge eine Konstante zur Lösung hinzu

= \frac{2 x ^{6}}{3} + \frac{5 x ^{4}}{4} + 11 x + C

Graph

Beliebte Beispiele

integral of (8x)/(x^2-4)

\int \frac{8 x}{x ^{2} - 4} d x

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\int \frac{1}{3 + 3 x ^{2}} d x

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\int e^{x} + e^{5 x} d x

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\int \frac{5}{2 t + 1} d t