integral from 2 to 6 of (x^2+5)

Lösung

\int_{2}^{6} (x^{2} + 5) d x

\frac{268}{3}

Dezimale

89.33333 \dots

Schritte zur Lösung

\int_{2}^{6} x^{2} + 5 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}^{6} x^{2} d x + \int_{2}^{6} 5 d x

\int_{2}^{6} x^{2} d x = \frac{208}{3}

\int_{2}^{6} 5 d x = 20

= \frac{208}{3} + 20

Vereinfache

\frac{208}{3} + 20 : \frac{268}{3}

= \frac{268}{3}

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