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Beliebt Rechnen >

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

Lösung

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

Lösung

- \frac{4}{9}

+1

Dezimale

- 0.44444 \dots

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{- 3}^{- 1} \frac{1}{u ^{3}} d u

Wende die Potenzregel an

= [- \frac{1}{2 u ^{2}}]_{- 3}^{- 1}

Berechne die Grenzen:

- \frac{4}{9}

= - \frac{4}{9}

Graph

Beliebte Beispiele

integral from 1 to 3 of 3/x

\int_{1}^{3} \frac{3}{x} d x

integral from 1 to 3 of 5

\int_{1}^{3} 5 d x

integral from a to b of 2x

\int_{a}^{b} 2 x d x

integral from pi/6 to pi/2 of sin(x)

\int_{\frac{π}{6}}^{\frac{π}{2}} sin (x) d x

integral from 0 to 1 of x^4sqrt(1-x^2)

\int_{0}^{1} x^{4} 1 - x^{2} d x