integral from 0 to 0.4 of 2x-5x^2

Lösung

\int_{0}^{0.4} 2 x - 5 x^{2} d x

0.05333 \dots

Schritte zur Lösung

\int_{0}^{0.4} 2 x - 5 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}^{0.4} 2 x d x - \int_{0}^{0.4} 5 x^{2} d x

\int_{0}^{0.4} 2 x d x = 0.16

\int_{0}^{0.4} 5 x^{2} d x = 0.10666 \dots

= 0.16 - 0.10666 \dots

Vereinfache

= 0.05333 \dots

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