integral from-1 to-3 of (x-4)

Lösung

\int_{- 1}^{- 3} (x - 4) d x

12

Schritte zur Lösung

\int_{- 1}^{- 3} x - 4 d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{- 3}^{- 1} x - 4 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_{- 3}^{- 1} x d x - \int_{- 3}^{- 1} 4 d x)

\int_{- 3}^{- 1} x d x = - 4

\int_{- 3}^{- 1} 4 d x = 8

= - (- 4 - 8)

Vereinfache

= 12