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Beliebt Rechnen >

integral from 0 to 4 of (-x^2-3x)

Lösung

\int_{0}^{4} (- x^{2} - 3 x) d x

Lösung

- \frac{136}{3}

+1

Dezimale

- 45.33333 \dots

Schritte zur Lösung

\int_{0}^{4} - x^{2} - 3 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_{0}^{4} x^{2} d x - \int_{0}^{4} 3 x d x

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 3 x d x = 24

= - \frac{64}{3} - 24

Vereinfache

- \frac{64}{3} - 24 : - \frac{136}{3}

= - \frac{136}{3}

Graph

Beliebte Beispiele

integral from 0 to 3 of x^2+5

\int_{0}^{3} x^{2} + 5 d x

integral from-1 to 3 of 8x^3

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

integral from a to 2a of (a+x)

\int_{a}^{2 a} (a + x) d x

integral from 1 to 5 of |x^2-2x-8|

\int_{1}^{5} x^{2} - 2 x - 8 d x

integral from 0 to 2 of x^7

\int_{0}^{2} x^{7} d x