integral from 1 to 4 of (x^4+5x^2)

Lösung

\int_{1}^{4} (x^{4} + 5 x^{2}) d x

\frac{1548}{5}

Dezimale

309.6

Schritte zur Lösung

\int_{1}^{4} x^{4} + 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_{1}^{4} x^{4} d x + \int_{1}^{4} 5 x^{2} d x

\int_{1}^{4} x^{4} d x = \frac{1023}{5}

\int_{1}^{4} 5 x^{2} d x = 105

= \frac{1023}{5} + 105

Vereinfache

\frac{1023}{5} + 105 : \frac{1548}{5}

= \frac{1548}{5}

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