integral from 0 to 1 of 25-x^2

Lösung

\int_{0}^{1} 25 - x^{2} d x

\frac{74}{3}

Dezimale

24.66666 \dots

Schritte zur Lösung

\int_{0}^{1} 25 - 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}^{1} 25 d x - \int_{0}^{1} x^{2} d x

\int_{0}^{1} 25 d x = 25

\int_{0}^{1} x^{2} d x = \frac{1}{3}

= 25 - \frac{1}{3}

Vereinfache

25 - \frac{1}{3} : \frac{74}{3}

= \frac{74}{3}