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

Lösung

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

18

Schritte zur Lösung

\int_{1}^{2} 2 x + 4 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_{1}^{2} 2 x d x + \int_{1}^{2} 4 x^{3} d x

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

\int_{1}^{2} 4 x^{3} d x = 15

= 3 + 15

Vereinfache

= 18

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