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

Lösung

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

4

Schritte zur Lösung

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

\int_{- 1}^{3} 2 x d x = 8

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

= 8 - 4

Vereinfache

= 4

\int_{- 1}^{2} ∣ 2 x - 1 ∣ d x

\int_{- 1}^{1} \frac{x}{2 + x ^{2}} d x

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