integral from 0 to 2 of 3x^2+2x

Lösung

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

12

Schritte zur Lösung

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

\int_{0}^{2} 3 x^{2} d x = 8

\int_{0}^{2} 2 x d x = 4

= 8 + 4

Vereinfache

= 12

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