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Beliebt Rechnen >

integral from 0 to 8 of 2/(x^{2/3)}

Lösung

\int_{0}^{8} \frac{2}{x ^{\frac{2}{3}}} d x

Lösung

12

Schritte zur Lösung

\int_{0}^{8} \frac{2}{x ^{\frac{2}{3}}} d x

Entferne die Konstante:

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

= 2 \cdot \int_{0}^{8} \frac{1}{x ^{\frac{2}{3}}} d x

Wende die Potenzregel an

= 2 [3 x^{\frac{1}{3}}]_{0}^{8}

Berechne die Grenzen:

6

= 2 \cdot 6

Vereinfache

= 12

Graph

Beliebte Beispiele

derivative of sqrt(5/x-1)

\frac{d}{d x} (\frac{5}{x} - 1)

tangent f(x)=x^4-13x^2+36,\at 1

t an g e n t f (x) = x^{4} - 13 x^{2} + 36, at 1

integral of (x^2-3x+2)/(x+1)

\int \frac{x ^{2} - 3 x + 2}{x + 1} d x

integral of (5y^4)/(y^5-13)

\int \frac{5 y ^{4}}{y ^{5} - 13} d y

inverselaplace (50s)/(s^2+25)

in v erse l a pl a ce \frac{50 s}{s ^{2} + 25}