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Beliebt Rechnen >

integral from 2 to 4 of (3x^2+(x^4)/4)

Lösung

\int_{2}^{4} (3 x^{2} + \frac{x ^{4}}{4}) d x

Lösung

\frac{528}{5}

+1

Dezimale

105.6

Schritte zur Lösung

\int_{2}^{4} 3 x^{2} + \frac{x ^{4}}{4} 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} 3 x^{2} d x + \int_{2}^{4} \frac{x ^{4}}{4} d x

\int_{2}^{4} 3 x^{2} d x = 56

\int_{2}^{4} \frac{x ^{4}}{4} d x = \frac{248}{5}

= 56 + \frac{248}{5}

Vereinfache

56 + \frac{248}{5} : \frac{528}{5}

= \frac{528}{5}

Graph

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