integral from 9 to 15 of (x-8)^{-2/3}

Lösung

\int_{9}^{15} (x - 8)^{- \frac{2}{3}} d x

3 \cdot 7^{\frac{1}{3}} - 3

Dezimale

2.73879 \dots

Schritte zur Lösung

\int_{9}^{15} (x - 8)^{- \frac{2}{3}} d x

Wende U-Substitution an

= \int_{1}^{7} \frac{1}{u ^{\frac{2}{3}}} d u

Wende die Potenzregel an

= [3 u^{\frac{1}{3}}]_{1}^{7}

Berechne die Grenzen:

3 \cdot 7^{\frac{1}{3}} - 3

= 3 \cdot 7^{\frac{1}{3}} - 3

\int_{0}^{π} sin^{5} (θ) d θ

\int_{0}^{7} \frac{x}{x ^{2} + 1} d x

\int_{0}^{t} cos (x) sin (t - x) d x

\int_{1}^{9} (\frac{2 ln ( x )}{x}) d x

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