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Beliebt Rechnen >

integral of 30(25-x^2)

Lösung

\int 30 (25 - x^{2}) d x

Lösung

30 (25 x - \frac{x ^{3}}{3}) + C

Schritte zur Lösung

\int 30 (25 - x^{2}) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 30 \cdot \int 25 - x^{2} 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

= 30 (\int 25 d x - \int x^{2} d x)

\int 25 d x = 25 x

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

= 30 (25 x - \frac{x ^{3}}{3})

Füge eine Konstante zur Lösung hinzu

= 30 (25 x - \frac{x ^{3}}{3}) + C

Graph

Beliebte Beispiele

tangent f(x)=7ln(x),\at x=3

t an g e n t f (x) = 7 ln (x), at x = 3

derivative of ae^x

\frac{d}{d x} (a e^{x})

derivative f(x)=(2x+1)(3x-2)

d er i v a t i v e f (x) = (2 x + 1) (3 x - 2)

integral from 3 to e^4 of 1/x

\int_{3}^{e^{4}} \frac{1}{x} d x

fläche y=ln(x),y=0,x=e

a re a y = ln (x), y = 0, x = e