integral from 0 to 4 of 6-x^2

Lösung

\int_{0}^{4} 6 - x^{2} d x

\frac{8}{3}

Dezimale

2.66666 \dots

Schritte zur Lösung

\int_{0}^{4} 6 - 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} 6 d x - \int_{0}^{4} x^{2} d x

\int_{0}^{4} 6 d x = 24

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

= 24 - \frac{64}{3}

Vereinfache

24 - \frac{64}{3} : \frac{8}{3}

= \frac{8}{3}