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Beliebt Rechnen >

integral of (9x^5-3x^2+7)

Lösung

\int (9 x^{5} - 3 x^{2} + 7) d x

Lösung

\frac{3 x ^{6}}{2} - x^{3} + 7 x + C

Schritte zur Lösung

\int 9 x^{5} - 3 x^{2} + 7 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 9 x^{5} d x - \int 3 x^{2} d x + \int 7 d x

\int 9 x^{5} d x = \frac{3 x ^{6}}{2}

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

\int 7 d x = 7 x

= \frac{3 x ^{6}}{2} - x^{3} + 7 x

Füge eine Konstante zur Lösung hinzu

= \frac{3 x ^{6}}{2} - x^{3} + 7 x + C

Graph

Beliebte Beispiele

integral of tan^3(3x)sec(3x)

\int tan^{3} (3 x) sec (3 x) d x

integral of (2x+6)/(x^2+1)

\int \frac{2 x + 6}{x ^{2} + 1} d x

limit as x approaches 2-of 3-x

x \to 2 - lim (3 - x)

limit as x approaches 0 of (x^2)cos(7/x)

x \to 0 lim ((x^{2}) cos (\frac{7}{x}))

fläche y=9x^2,y^2= 1/9 x

a re a y = 9 x^{2}, y^{2} = \frac{1}{9} x