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Beliebt Rechnen >

integral of 7x^6+6x^2+2sqrt(x)

Lösung

\int 7 x^{6} + 6 x^{2} + 2 x d x

Lösung

x^{7} + 2 x^{3} + \frac{4}{3} x^{\frac{3}{2}} + C

Schritte zur Lösung

\int 7 x^{6} + 6 x^{2} + 2 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 7 x^{6} d x + \int 6 x^{2} d x + \int 2 x d x

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

\int 6 x^{2} d x = 2 x^{3}

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

= x^{7} + 2 x^{3} + \frac{4}{3} x^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= x^{7} + 2 x^{3} + \frac{4}{3} x^{\frac{3}{2}} + C

Graph

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