integral from-5 to 5 of x^2-25

Lösung

\int_{- 5}^{5} x^{2} - 25 d x

- \frac{500}{3}

Dezimale

- 166.66666 \dots

Schritte zur Lösung

\int_{- 5}^{5} x^{2} - 25 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_{- 5}^{5} x^{2} d x - \int_{- 5}^{5} 25 d x

\int_{- 5}^{5} x^{2} d x = \frac{250}{3}

\int_{- 5}^{5} 25 d x = 250

= \frac{250}{3} - 250

Vereinfache

\frac{250}{3} - 250 : - \frac{500}{3}

= - \frac{500}{3}

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