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Beliebt Rechnen >

integral from 0 to 2 of (2x-9)(8x^2+5)

Lösung

\int_{0}^{2} (2 x - 9) (8 x^{2} + 5) d x

Lösung

- 198

Schritte zur Lösung

\int_{0}^{2} (2 x - 9) (8 x^{2} + 5) d x

Multipliziere aus

(2 x - 9) (8 x^{2} + 5) : 16 x^{3} + 10 x - 72 x^{2} - 45

= \int_{0}^{2} 16 x^{3} + 10 x - 72 x^{2} - 45 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}^{2} 16 x^{3} d x + \int_{0}^{2} 10 x d x - \int_{0}^{2} 72 x^{2} d x - \int_{0}^{2} 45 d x

\int_{0}^{2} 16 x^{3} d x = 64

\int_{0}^{2} 10 x d x = 20

\int_{0}^{2} 72 x^{2} d x = 192

\int_{0}^{2} 45 d x = 90

= 64 + 20 - 192 - 90

Vereinfache

= - 198

Graph

Beliebte Beispiele

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\int_{2}^{6} x^{4} d x

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\int_{0}^{2} 5 (1 - e^{x}) d x

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

integral from 0 to 5 of (x)

\int_{0}^{5} (x) d x