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Beliebt Rechnen >

integral from 0 to 3 of (-x^3+3x^2-2)

Lösung

\int_{0}^{3} (- x^{3} + 3 x^{2} - 2) d x

Lösung

\frac{3}{4}

+1

Dezimale

0.75

Schritte zur Lösung

\int_{0}^{3} - x^{3} + 3 x^{2} - 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

= - \int_{0}^{3} x^{3} d x + \int_{0}^{3} 3 x^{2} d x - \int_{0}^{3} 2 d x

\int_{0}^{3} x^{3} d x = \frac{81}{4}

\int_{0}^{3} 3 x^{2} d x = 27

\int_{0}^{3} 2 d x = 6

= - \frac{81}{4} + 27 - 6

Vereinfache

- \frac{81}{4} + 27 - 6 : \frac{3}{4}

= \frac{3}{4}

Graph

Beliebte Beispiele

integral of (3/(x^5))

\int (\frac{3}{x ^{5}}) d x

derivative of e^{-7x}cos(7x)

\frac{d}{d x} (e^{- 7 x} cos (7 x))

tangent y=2x^2+5,(-1,7)

t an g e n t y = 2 x^{2} + 5, (- 1, 7)

derivative f(x)=x^2e^x-2xe^x+2e^x

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

integral of tan^4(5t)

\int tan^{4} (5 t) d t