integral from 2 to 4 of 4-x^2

Lösung

\int_{2}^{4} 4 - x^{2} d x

- \frac{32}{3}

Dezimale

- 10.66666 \dots

Schritte zur Lösung

\int_{2}^{4} 4 - x^{2} 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}^{4} 4 d x - \int_{2}^{4} x^{2} d x

\int_{2}^{4} 4 d x = 8

\int_{2}^{4} x^{2} d x = \frac{56}{3}

= 8 - \frac{56}{3}

Vereinfache

8 - \frac{56}{3} : - \frac{32}{3}

= - \frac{32}{3}

\int_{0}^{1} (2) d x

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