integral from 2 to 3 of x+x^2

Lösung

\int_{2}^{3} x + x^{2} d x

\frac{53}{6}

Dezimale

8.83333 \dots

Schritte zur Lösung

\int_{2}^{3} x + x^{2} 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}^{3} x d x + \int_{2}^{3} x^{2} d x

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

\int_{2}^{3} x^{2} d x = \frac{19}{3}

= \frac{5}{2} + \frac{19}{3}

Vereinfache

\frac{5}{2} + \frac{19}{3} : \frac{53}{6}

= \frac{53}{6}

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