integral from 0 to 5 of x^2+2x-15

Lösung

\int_{0}^{5} x^{2} + 2 x - 15 d x

- \frac{25}{3}

Dezimale

- 8.33333 \dots

Schritte zur Lösung

\int_{0}^{5} x^{2} + 2 x - 15 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} 2 x d x - \int_{0}^{5} 15 d x

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

\int_{0}^{5} 2 x d x = 25

\int_{0}^{5} 15 d x = 75

= \frac{125}{3} + 25 - 75

Vereinfache

\frac{125}{3} + 25 - 75 : - \frac{25}{3}

= - \frac{25}{3}

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