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Beliebt Rechnen >

integral from-2 to 2 of (10x^4-x-12)

Lösung

\int_{- 2}^{2} (10 x^{4} - x - 12) d x

Lösung

80

Schritte zur Lösung

\int_{- 2}^{2} 10 x^{4} - x - 12 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_{- 2}^{2} 10 x^{4} d x - \int_{- 2}^{2} x d x - \int_{- 2}^{2} 12 d x

\int_{- 2}^{2} 10 x^{4} d x = 128

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

\int_{- 2}^{2} 12 d x = 48

= 128 - 0 - 48

Vereinfache

= 80

Graph

Beliebte Beispiele

integral from 0 to 3 of 2x^4

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

integral from-4 to 4 of (x-2)

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

integral from 2 to 3 of x^2+3

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

integral from 0 to pi/2 of-xcos(x)+x

\int_{0}^{\frac{π}{2}} - x cos (x) + x d x

integral from x-2 to x^2 of sqrt(t-1)

\int_{x - 2}^{x^{2}} t - 1 d t