integral from 0 to 5 of x^3-1

Lösung

\int_{0}^{5} x^{3} - 1 d x

\frac{605}{4}

Dezimale

151.25

Schritte zur Lösung

\int_{0}^{5} x^{3} - 1 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}^{5} x^{3} d x - \int_{0}^{5} 1 d x

\int_{0}^{5} x^{3} d x = \frac{625}{4}

\int_{0}^{5} 1 d x = 5

= \frac{625}{4} - 5

Vereinfache

\frac{625}{4} - 5 : \frac{605}{4}

= \frac{605}{4}

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