integral from-4 to 3 of-x^2-x+12

Lösung

\int_{- 4}^{3} - x^{2} - x + 12 d x

\frac{343}{6}

Dezimale

57.16666 \dots

Schritte zur Lösung

\int_{- 4}^{3} - x^{2} - 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_{- 4}^{3} x^{2} d x - \int_{- 4}^{3} x d x + \int_{- 4}^{3} 12 d x

\int_{- 4}^{3} x^{2} d x = \frac{91}{3}

\int_{- 4}^{3} x d x = - \frac{7}{2}

\int_{- 4}^{3} 12 d x = 84

= - \frac{91}{3} - (- \frac{7}{2}) + 84

Vereinfache

- \frac{91}{3} - (- \frac{7}{2}) + 84 : \frac{343}{6}

= \frac{343}{6}

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