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Beliebt Rechnen >

integral of 5x^3+2x-6

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

\int 2 x d x = x^{2}

\int 6 d x = 6 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

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

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

integral of (8x^3+13x)/(x^4+4x^2+4)

\int \frac{8 x ^{3} + 13 x}{x ^{4} + 4 x ^{2} + 4} d x

in t e g r a l 9 x^{2}

integral of 3xarccos(x)

\int 3 x arccos (x) d x

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\int π^{3 t} d t