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

Lösung

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

- 14

Schritte zur Lösung

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

\int_{- 6}^{- 3} x d x = - \frac{27}{2}

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

= - \frac{27}{2} - \frac{1}{2}

Vereinfache

- \frac{27}{2} - \frac{1}{2} : - 14

= - 14