integral from 1 to 3 of 1/((x-1)^{1/3)}

Lösung

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

\frac{3}{2 ^{\frac{1}{3}}}

Dezimale

2.38110 \dots

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{0}^{2} \frac{1}{u ^{\frac{1}{3}}} d u

Wende die Potenzregel an

= [\frac{3}{2} u^{\frac{2}{3}}]_{0}^{2}

Berechne die Grenzen:

\frac{3}{2 ^{\frac{1}{3}}}

= \frac{3}{2 ^{\frac{1}{3}}}

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