integral from 1 to 4 of (3x^2-2x)

Lösung

\int_{1}^{4} (3 x^{2} - 2 x) d x

48

Schritte zur Lösung

\int_{1}^{4} 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}^{4} 3 x^{2} d x - \int_{1}^{4} 2 x d x

\int_{1}^{4} 3 x^{2} d x = 63

\int_{1}^{4} 2 x d x = 15

= 63 - 15

Vereinfache

= 48

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