integral from 0 to 5 of-x^2+9

Lösung

\int_{0}^{5} - x^{2} + 9 d x

\frac{10}{3}

Dezimale

3.33333 \dots

Schritte zur Lösung

\int_{0}^{5} - x^{2} + 9 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} 9 d x

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

\int_{0}^{5} 9 d x = 45

= - \frac{125}{3} + 45

Vereinfache

- \frac{125}{3} + 45 : \frac{10}{3}

= \frac{10}{3}

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