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Beliebt Rechnen >

integral of (x^5)/5-x^2

Lösung

\int \frac{x ^{5}}{5} - x^{2} d x

Lösung

\frac{x ^{6}}{30} - \frac{x ^{3}}{3} + C

Schritte zur Lösung

\int \frac{x ^{5}}{5} - x^{2} 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{x ^{5}}{5} d x - \int x^{2} d x

\int \frac{x ^{5}}{5} d x = \frac{x ^{6}}{30}

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

= \frac{x ^{6}}{30} - \frac{x ^{3}}{3}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{6}}{30} - \frac{x ^{3}}{3} + C

Graph

Beliebte Beispiele

integral of xsqrt(x+15)

\int x x + 15 d x

integral of (5xln(x))/(sqrt(x^2-4))

\int \frac{5 x ln ( x )}{x ^{2} - 4} d x

integral of (sec^2(x))/(cot(x))

\int \frac{sec ^{2} ( x )}{cot ( x )} d x

integral of 8ln(3x)

\int 8 ln (3 x) d x

integral of (x-28)/(x^2(x+4))

\int \frac{x - 28}{x ^{2} ( x + 4 )} d x