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Beliebt Rechnen >

integral from 1/2 to 1 of (x^{-3}-6)

Lösung

\int_{\frac{1}{2}}^{1} (x^{- 3} - 6) d x

Lösung

- \frac{3}{2}

+1

Dezimale

- 1.5

Schritte zur Lösung

\int_{\frac{1}{2}}^{1} x^{- 3} - 6 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_{\frac{1}{2}}^{1} x^{- 3} d x - \int_{\frac{1}{2}}^{1} 6 d x

\int_{\frac{1}{2}}^{1} x^{- 3} d x = \frac{3}{2}

\int_{\frac{1}{2}}^{1} 6 d x = 3

= \frac{3}{2} - 3

Vereinfache

\frac{3}{2} - 3 : - \frac{3}{2}

= - \frac{3}{2}

Graph

Beliebte Beispiele

derivative of-3sqrt(x)-2\sqrt[3]{x^2}

steigung (-5,5),(5,-2)

limit as x approaches 0+of x^{9/x}

tangent f(x)=x^2+9