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

Lösung

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

6

Schritte zur Lösung

\int_{- 1}^{2} 3 x^{2} - 2 x 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_{- 1}^{2} 3 x^{2} d x - \int_{- 1}^{2} 2 x d x

\int_{- 1}^{2} 3 x^{2} d x = 9

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

= 9 - 3

Vereinfache

= 6

\int_{- 1}^{1} x^{6} d x

\int_{0}^{2} - x^{2} + 3 x - 2 d x

\int_{- 2}^{2} ∣ x + 1 ∣ d x

\int_{1}^{0} ∣ 2 x - 1 ∣ d x

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