integral from 0 to 1 of 2-2x^2

Lösung

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

\frac{4}{3}

Dezimale

1.33333 \dots

Schritte zur Lösung

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

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

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

= 2 - \frac{2}{3}

Vereinfache

2 - \frac{2}{3} : \frac{4}{3}

= \frac{4}{3}

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