integral from 0 to 2 of 3+6x-x^3

Lösung

\int_{0}^{2} 3 + 6 x - x^{3} d x

14

Schritte zur Lösung

\int_{0}^{2} 3 + 6 x - x^{3} 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 d x + \int_{0}^{2} 6 x d x - \int_{0}^{2} x^{3} d x

\int_{0}^{2} 3 d x = 6

\int_{0}^{2} 6 x d x = 12

\int_{0}^{2} x^{3} d x = 4

= 6 + 12 - 4

Vereinfache

= 14

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

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