integral from 0 to 3 of 2x+4x^2+16x^3

Lösung

\int_{0}^{3} 2 x + 4 x^{2} + 16 x^{3} d x

369

Schritte zur Lösung

\int_{0}^{3} 2 x + 4 x^{2} + 16 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}^{3} 2 x d x + \int_{0}^{3} 4 x^{2} d x + \int_{0}^{3} 16 x^{3} d x

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

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

\int_{0}^{3} 16 x^{3} d x = 324

= 9 + 36 + 324

Vereinfache

= 369

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