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Beliebt Rechnen >

integral of 6x^6-x

Lösung

\int 6 x^{6} - x d x

Lösung

\frac{6 x ^{7}}{7} - \frac{x ^{2}}{2} + C

Schritte zur Lösung

\int 6 x^{6} - x 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 6 x^{6} d x - \int x d x

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

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

= \frac{6 x ^{7}}{7} - \frac{x ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= \frac{6 x ^{7}}{7} - \frac{x ^{2}}{2} + C

Graph

Beliebte Beispiele

derivative of sqrt(cos(5x))

\frac{d}{d x} (cos (5 x))

integral of (x^2-4x+3)/(x^3+2x^2+x)

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

limit as z approaches 2 of sqrt(7z^2+14z-7)

z \to 2 lim (7 z^{2} + 14 z - 7)

integral of 1/((x^2+3x-4))

\int \frac{1}{( x ^{2} + 3 x - 4 )} d x

inverselaplace 1/(s^2(s+1))

in v erse l a pl a ce \frac{1}{s ^{2} ( s + 1 )}