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Beliebt Rechnen >

integral from-1 to 3 of (x^3-2x)

Lösung

\int_{- 1}^{3} (x^{3} - 2 x) d x

Lösung

12

Schritte zur Lösung

\int_{- 1}^{3} x^{3} - 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_{- 1}^{3} x^{3} d x - \int_{- 1}^{3} 2 x d x

\int_{- 1}^{3} x^{3} d x = 20

\int_{- 1}^{3} 2 x d x = 8

= 20 - 8

Vereinfache

= 12

Graph

Beliebte Beispiele

integral of (x^2cos(x)-2xcos(x))

\int (x^{2} cos (x) - 2 x cos (x)) d x

derivative f(x)=(x^3)(e^x)

d er i v a t i v e f (x) = (x^{3}) (e^{x})

integral of (4-x)/(x^2)

\int \frac{4 - x}{x ^{2}} d x

(dy)/(dx)(-3y)=0

\frac{d y}{d x} (- 3 y) = 0

y^'=(x+y-2)^2,y(0)=2

y^{^{'}} = (x + y - 2)^{2}, y (0) = 2