integral from 1 to 2 of x^4-x

Lösung

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

\frac{47}{10}

Dezimale

4.7

Schritte zur Lösung

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

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

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

= \frac{31}{5} - \frac{3}{2}

Vereinfache

\frac{31}{5} - \frac{3}{2} : \frac{47}{10}

= \frac{47}{10}

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