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Beliebt Rechnen >

integral of (6x^5+7x)

Lösung

\int (6 x^{5} + 7 x) d x

Lösung

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

Schritte zur Lösung

\int 6 x^{5} + 7 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^{5} d x + \int 7 x d x

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

\int 7 x d x = \frac{7 x ^{2}}{2}

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

(dy)/(dx)=(y^2)/(e^x),y(0)=-2

\frac{d y}{d x} = \frac{y ^{2}}{e ^{x}}, y (0) = - 2

limit as x approaches infinity of (sqrt(x))/(ln(x))

x \to \infty lim (\frac{x}{ln ( x )})

derivative of (x/2+1^3)

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

integral of e^{6x}sin(x)

\int e^{6 x} sin (x) d x

derivative f(x)=1.5x^7-(x^4)/3+pix-ex^2+sqrt(2)

d er i v a t i v e f (x) = 1.5 x^{7} - \frac{x ^{4}}{3} + π x - e x^{2} + 2