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Beliebt Rechnen >

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

Lösung

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

Lösung

24

Schritte zur Lösung

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

\int_{- 1}^{3} 3 x^{2} d x = 28

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

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

= 28 - 8 + 4

Vereinfache

= 24

Graph

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integral from 2 to 3 of (35)/(sqrt(3-x))

\int_{2}^{3} \frac{35}{3 - x} d x

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