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Beliebt Rechnen >

integral from 0 to 1 of (u+7)(u-8)

Lösung

\int_{0}^{1} (u + 7) (u - 8) d u

Lösung

- \frac{337}{6}

+1

Dezimale

- 56.16666 \dots

Schritte zur Lösung

\int_{0}^{1} (u + 7) (u - 8) d u

Multipliziere aus

(u + 7) (u - 8) : u^{2} - u - 56

= \int_{0}^{1} u^{2} - u - 56 d u

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}^{1} u^{2} d u - \int_{0}^{1} u d u - \int_{0}^{1} 56 d u

\int_{0}^{1} u^{2} d u = \frac{1}{3}

\int_{0}^{1} u d u = \frac{1}{2}

\int_{0}^{1} 56 d u = 56

= \frac{1}{3} - \frac{1}{2} - 56

Vereinfache

\frac{1}{3} - \frac{1}{2} - 56 : - \frac{337}{6}

= - \frac{337}{6}

Graph

Beliebte Beispiele

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\int 2 e^{4 x} d x

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x \to - 1 lim (\frac{x}{x - 1})

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