integral from-1 to 1 of (x^4-x^6)

Lösung

\int_{- 1}^{1} (x^{4} - x^{6}) d x

\frac{4}{35}

Dezimale

0.11428 \dots

Schritte zur Lösung

\int_{- 1}^{1} x^{4} - x^{6} 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}^{1} x^{4} d x - \int_{- 1}^{1} x^{6} d x

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

\int_{- 1}^{1} x^{6} d x = \frac{2}{7}

= \frac{2}{5} - \frac{2}{7}

Vereinfache

\frac{2}{5} - \frac{2}{7} : \frac{4}{35}

= \frac{4}{35}

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