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Beliebt Rechnen >

integral of [(4x-9)^6-2x]

Lösung

\int [(4 x - 9)^{6} - 2 x] d x

Lösung

\frac{1}{28} (4 x - 9)^{7} - x^{2} + C

Schritte zur Lösung

\int (4 x - 9)^{6} - 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 (4 x - 9)^{6} d x - \int 2 x d x

\int (4 x - 9)^{6} d x = \frac{1}{28} (4 x - 9)^{7}

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

= \frac{1}{28} (4 x - 9)^{7} - x^{2}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{28} (4 x - 9)^{7} - x^{2} + C

Graph

Beliebte Beispiele

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

\int \frac{3 x}{1 + x ^{4}} d x

derivative f(x)=x^3-3x^2+4x-7

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

integral of cos(x)+2

\int cos (x) + 2 d x

derivative of x(7x+9^{1/3})

\frac{d}{d x} (x (7 x + 9)^{\frac{1}{3}})

25 y^{^{''}} + 2 y = 0