integral from 3 to 4 of (x^2-x-6)

Lösung

\int_{3}^{4} (x^{2} - x - 6) d x

\frac{17}{6}

Dezimale

2.83333 \dots

Schritte zur Lösung

\int_{3}^{4} x^{2} - 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_{3}^{4} x^{2} d x - \int_{3}^{4} x d x - \int_{3}^{4} 6 d x

\int_{3}^{4} x^{2} d x = \frac{37}{3}

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

\int_{3}^{4} 6 d x = 6

= \frac{37}{3} - \frac{7}{2} - 6

Vereinfache

\frac{37}{3} - \frac{7}{2} - 6 : \frac{17}{6}

= \frac{17}{6}

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