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

Lösung

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

\frac{81}{10}

Dezimale

8.1

Schritte zur Lösung

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

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

\int_{- 1}^{2} x^{4} d x = \frac{33}{5}

= \frac{3}{2} + \frac{33}{5}

Vereinfache

\frac{3}{2} + \frac{33}{5} : \frac{81}{10}

= \frac{81}{10}

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