integral from 0 to 1 of ax^{a-1}

Lösung

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

1

Schritte zur Lösung

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

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= a \cdot \int_{0}^{1} x^{a - 1} d x

Wende die Potenzregel an

= a [\frac{x ^{a}}{a}]_{0}^{1}

Berechne die Grenzen:

\frac{1}{a}

= a \frac{1}{a}

Vereinfache

= 1

\int_{0}^{5} (4 t - 1)^{2} d t

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