integral from-2 to 5 of (x^2+x)

Lösung

\int_{- 2}^{5} (x^{2} + x) d x

\frac{329}{6}

Dezimale

54.83333 \dots

Schritte zur Lösung

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

\int_{- 2}^{5} x^{2} d x = \frac{133}{3}

\int_{- 2}^{5} x d x = \frac{21}{2}

= \frac{133}{3} + \frac{21}{2}

Vereinfache

\frac{133}{3} + \frac{21}{2} : \frac{329}{6}

= \frac{329}{6}

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