integral from 0 to 1 of (x^3-x^4)

Lösung

\int_{0}^{1} (x^{3} - x^{4}) d x

\frac{1}{20}

Dezimale

0.05

Schritte zur Lösung

\int_{0}^{1} x^{3} - 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_{0}^{1} x^{3} d x - \int_{0}^{1} x^{4} d x

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

\int_{0}^{1} x^{4} d x = \frac{1}{5}

= \frac{1}{4} - \frac{1}{5}

Vereinfache

\frac{1}{4} - \frac{1}{5} : \frac{1}{20}

= \frac{1}{20}

\int_{0}^{4} x ln (4 x) d x

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