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

Lösung

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

\frac{8}{3}

Dezimale

2.66666 \dots

Schritte zur Lösung

\int_{2}^{4} 2 x - \frac{x ^{2}}{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_{2}^{4} 2 x d x - \int_{2}^{4} \frac{x ^{2}}{2} d x

\int_{2}^{4} 2 x d x = 12

\int_{2}^{4} \frac{x ^{2}}{2} d x = \frac{28}{3}

= 12 - \frac{28}{3}

Vereinfache

12 - \frac{28}{3} : \frac{8}{3}

= \frac{8}{3}

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