integral from 1 to 2 of x^4+2x^2

Lösung

\int_{1}^{2} x^{4} + 2 x^{2} d x

\frac{163}{15}

Dezimale

10.86666 \dots

Schritte zur Lösung

\int_{1}^{2} x^{4} + 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_{1}^{2} x^{4} d x + \int_{1}^{2} 2 x^{2} d x

\int_{1}^{2} x^{4} d x = \frac{31}{5}

\int_{1}^{2} 2 x^{2} d x = \frac{14}{3}

= \frac{31}{5} + \frac{14}{3}

Vereinfache

\frac{31}{5} + \frac{14}{3} : \frac{163}{15}

= \frac{163}{15}

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