integral from 0 to 4 of x-(x^2)/(16)

Lösung

\int_{0}^{4} x - \frac{x ^{2}}{16} d x

\frac{20}{3}

Dezimale

6.66666 \dots

Schritte zur Lösung

\int_{0}^{4} x - \frac{x ^{2}}{16} 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} x d x - \int_{0}^{4} \frac{x ^{2}}{16} d x

\int_{0}^{4} x d x = 8

\int_{0}^{4} \frac{x ^{2}}{16} d x = \frac{4}{3}

= 8 - \frac{4}{3}

Vereinfache

8 - \frac{4}{3} : \frac{20}{3}

= \frac{20}{3}

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