integral from-4 to 4 of (x-2)

Lösung

\int_{- 4}^{4} (x - 2) d x

- 16

Schritte zur Lösung

\int_{- 4}^{4} 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_{- 4}^{4} x d x - \int_{- 4}^{4} 2 d x

\int_{- 4}^{4} x d x = 0

\int_{- 4}^{4} 2 d x = 16

= 0 - 16

Vereinfache

= - 16

\int_{2}^{3} x^{2} + 3 d x

\int_{0}^{\frac{π}{2}} - x cos (x) + x d x

\int_{x - 2}^{x^{2}} t - 1 d t

\int_{0}^{1} x^{2} (1 + 2 x^{3}) d x

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