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

Lösung

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

\frac{41}{6}

Dezimale

6.83333 \dots

Schritte zur Lösung

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

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

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

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

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

Vereinfache

\frac{19}{3} + \frac{5}{2} - 2 : \frac{41}{6}

= \frac{41}{6}

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