integral from 0 to 3 of (4x^2-2x+5)

Lösung

\int_{0}^{3} (4 x^{2} - 2 x + 5) d x

42

Schritte zur Lösung

\int_{0}^{3} 4 x^{2} - 2 x + 5 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}^{3} 4 x^{2} d x - \int_{0}^{3} 2 x d x + \int_{0}^{3} 5 d x

\int_{0}^{3} 4 x^{2} d x = 36

\int_{0}^{3} 2 x d x = 9

\int_{0}^{3} 5 d x = 15

= 36 - 9 + 15

Vereinfache

= 42

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