integral from 1 to 2 of (6x^2-6x+6)

Lösung

\int_{1}^{2} (6 x^{2} - 6 x + 6) d x

11

Schritte zur Lösung

\int_{1}^{2} 6 x^{2} - 6 x + 6 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} 6 x^{2} d x - \int_{1}^{2} 6 x d x + \int_{1}^{2} 6 d x

\int_{1}^{2} 6 x^{2} d x = 14

\int_{1}^{2} 6 x d x = 9

\int_{1}^{2} 6 d x = 6

= 14 - 9 + 6

Vereinfache

= 11

\int_{1}^{2} 3 x^{5} - 2 x^{3} d x

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