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

Lösung

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

4

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 = 7

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

= 7 - 3

Vereinfache

= 4

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