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Beliebt Rechnen >

integral of 3/4+4/5 x^2-5/6 x^3

Lösung

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

Lösung

\frac{3}{4} x + \frac{4 x ^{3}}{15} - \frac{5 x ^{4}}{24} + C

Schritte zur Lösung

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

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

\int \frac{4}{5} x^{2} d x = \frac{4 x ^{3}}{15}

\int \frac{5}{6} x^{3} d x = \frac{5 x ^{4}}{24}

= \frac{3}{4} x + \frac{4 x ^{3}}{15} - \frac{5 x ^{4}}{24}

Füge eine Konstante zur Lösung hinzu

= \frac{3}{4} x + \frac{4 x ^{3}}{15} - \frac{5 x ^{4}}{24} + C

Graph

Beliebte Beispiele

derivative sqrt(5)x+sqrt(7x)

d er i v a t i v e 5 x + 7 x

limit as x approaches 2 of \sqrt[3]{(x^3-8)/(x-2)}

x \to 2 lim (3 \frac{x ^{3} - 8}{x - 2})

taylor sqrt(1+x)

t a y l or 1 + x

derivative of (e^x+1/(e^x+2))

\frac{d}{d x} (\frac{e ^{x} + 1}{e ^{x} + 2})

limit as x approaches 2 of (x^3-8)/(x-2)

x \to 2 lim (\frac{x ^{3} - 8}{x - 2})