integral from 1 to 4 of (5x^2-8x+5)

Lösung

\int_{1}^{4} (5 x^{2} - 8 x + 5) d x

60

Schritte zur Lösung

\int_{1}^{4} 5 x^{2} - 8 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_{1}^{4} 5 x^{2} d x - \int_{1}^{4} 8 x d x + \int_{1}^{4} 5 d x

\int_{1}^{4} 5 x^{2} d x = 105

\int_{1}^{4} 8 x d x = 60

\int_{1}^{4} 5 d x = 15

= 105 - 60 + 15

Vereinfache

= 60

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