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Beliebt Rechnen >

integral of (7x^6+7x^3+4)

Lösung

\int (7 x^{6} + 7 x^{3} + 4) d x

Lösung

x^{7} + \frac{7 x ^{4}}{4} + 4 x + C

Schritte zur Lösung

\int 7 x^{6} + 7 x^{3} + 4 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 7 x^{6} d x + \int 7 x^{3} d x + \int 4 d x

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

\int 7 x^{3} d x = \frac{7 x ^{4}}{4}

\int 4 d x = 4 x

= x^{7} + \frac{7 x ^{4}}{4} + 4 x

Füge eine Konstante zur Lösung hinzu

= x^{7} + \frac{7 x ^{4}}{4} + 4 x + C

Graph

Beliebte Beispiele

integral of e^{ln(x^2)}x

\int e^{l n (x^{2})} x d x

derivative of e^{2x}-cos(2x)

\frac{d}{d x} (e^{2 x} - cos (2 x))

limit as x approaches 0 of ((sin(4x)))/x

x \to 0 lim (\frac{( sin ( 4 x ) )}{x})

limit as x approaches 0 of 5x

x \to 0 lim (5 x)

tangent f(x)=(-5)/(x-1),\at a=8

t an g e n t f (x) = \frac{- 5}{x - 1}, at a = 8