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Beliebt Rechnen >

integral from 0 to 1 of (x+6)(x-7)

Lösung

\int_{0}^{1} (x + 6) (x - 7) d x

Lösung

- \frac{253}{6}

+1

Dezimale

- 42.16666 \dots

Schritte zur Lösung

\int_{0}^{1} (x + 6) (x - 7) d x

Multipliziere aus

(x + 6) (x - 7) : x^{2} - x - 42

= \int_{0}^{1} x^{2} - x - 42 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}^{1} x^{2} d x - \int_{0}^{1} x d x - \int_{0}^{1} 42 d x

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

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

\int_{0}^{1} 42 d x = 42

= \frac{1}{3} - \frac{1}{2} - 42

Vereinfache

\frac{1}{3} - \frac{1}{2} - 42 : - \frac{253}{6}

= - \frac{253}{6}

Graph

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