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

Lösung

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

- \frac{5}{72}

Dezimale

- 0.06944 \dots

Schritte zur Lösung

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

Wende U-Substitution an

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

Wende die Potenzregel an

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

Berechne die Grenzen:

- \frac{5}{72}

= - \frac{5}{72}

a re a 7 x + 12, 0, 10

in v erse l a pl a ce \frac{1}{s ^{3} ( s + 2 )}

\frac{\partial}{\partial x} (x^{2} y + y^{2} z + z^{2} x)

x^{- 2} y^{- 5} d x + x^{- 3} y^{- 4} d y = 0

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