integral from 0 to 5 of x^2+5x

Lösung

\int_{0}^{5} x^{2} + 5 x d x

\frac{625}{6}

Dezimale

104.16666 \dots

Schritte zur Lösung

\int_{0}^{5} x^{2} + 5 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_{0}^{5} x^{2} d x + \int_{0}^{5} 5 x d x

\int_{0}^{5} x^{2} d x = \frac{125}{3}

\int_{0}^{5} 5 x d x = \frac{125}{2}

= \frac{125}{3} + \frac{125}{2}

Vereinfache

\frac{125}{3} + \frac{125}{2} : \frac{625}{6}

= \frac{625}{6}

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