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Beliebt Rechnen >

integral from-1 to 6 of-x^2+5x+6

Lösung

\int_{- 1}^{6} - x^{2} + 5 x + 6 d x

Lösung

\frac{343}{6}

+1

Dezimale

57.16666 \dots

Schritte zur Lösung

\int_{- 1}^{6} - x^{2} + 5 x + 6 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_{- 1}^{6} x^{2} d x + \int_{- 1}^{6} 5 x d x + \int_{- 1}^{6} 6 d x

\int_{- 1}^{6} x^{2} d x = \frac{217}{3}

\int_{- 1}^{6} 5 x d x = \frac{175}{2}

\int_{- 1}^{6} 6 d x = 42

= - \frac{217}{3} + \frac{175}{2} + 42

Vereinfache

- \frac{217}{3} + \frac{175}{2} + 42 : \frac{343}{6}

= \frac{343}{6}

Graph

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