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Beliebt Rechnen >

integral from-2 to 0 of \sqrt[3]{x^2}

Lösung

\int_{- 2}^{0} 3 x^{2} d x

Lösung

\frac{6 ( - 1 ) ^{\frac{2}{3}} \cdot 2 ^{\frac{2}{3}}}{5}

Schritte zur Lösung

\int_{- 2}^{0} 3 x^{2} d x

3 x^{2} = x^{\frac{2}{3}},

angenommen

x \geq 0

= \int_{- 2}^{0} x^{\frac{2}{3}} d x

Wende die Potenzregel an

= [\frac{3}{5} x^{\frac{5}{3}}]_{- 2}^{0}

Berechne die Grenzen:

\frac{6 ( - 1 ) ^{\frac{2}{3}} \cdot 2 ^{\frac{2}{3}}}{5}

= \frac{6 ( - 1 ) ^{\frac{2}{3}} \cdot 2 ^{\frac{2}{3}}}{5}

Graph

Beliebte Beispiele

derivative of x^2sqrt(3-x)

\frac{d}{d x} (x^{2} 3 - x)

integral of 1/(5+x^2)

\int \frac{1}{5 + x ^{2}} d x

integral of (ln(y))/(log_{10)(y)}

\int \frac{ln ( y )}{lo g _{10} ( y )} d y

tangent f(x)=x^4-17x^2+16

t an g e n t f (x) = x^{4} - 17 x^{2} + 16

integral of pi((sin(x))/x)^2

\int π (\frac{sin ( x )}{x})^{2} d x