integral from 0 to 1 of 1-x^3

Lösung

\int_{0}^{1} 1 - x^{3} d x

\frac{3}{4}

Dezimale

0.75

Schritte zur Lösung

\int_{0}^{1} 1 - x^{3} 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_{0}^{1} 1 d x - \int_{0}^{1} x^{3} d x

\int_{0}^{1} 1 d x = 1

\int_{0}^{1} x^{3} d x = \frac{1}{4}

= 1 - \frac{1}{4}

Vereinfache

1 - \frac{1}{4} : \frac{3}{4}

= \frac{3}{4}

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