integral from 0 to 4 of 3-x^2

Lösung

\int_{0}^{4} 3 - x^{2} d x

- \frac{28}{3}

Dezimale

- 9.33333 \dots

Schritte zur Lösung

\int_{0}^{4} 3 - 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_{0}^{4} 3 d x - \int_{0}^{4} x^{2} d x

\int_{0}^{4} 3 d x = 12

\int_{0}^{4} x^{2} d x = \frac{64}{3}

= 12 - \frac{64}{3}

Vereinfache

12 - \frac{64}{3} : - \frac{28}{3}

= - \frac{28}{3}

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