integral from 1 to 2 of (2x^2+3)

Lösung

\int_{1}^{2} (2 x^{2} + 3) d x

\frac{23}{3}

Dezimale

7.66666 \dots

Schritte zur Lösung

\int_{1}^{2} 2 x^{2} + 3 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_{1}^{2} 2 x^{2} d x + \int_{1}^{2} 3 d x

\int_{1}^{2} 2 x^{2} d x = \frac{14}{3}

\int_{1}^{2} 3 d x = 3

= \frac{14}{3} + 3

Vereinfache

\frac{14}{3} + 3 : \frac{23}{3}

= \frac{23}{3}

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