integral from 0 to 4 of 48-3x^2

Lösung

\int_{0}^{4} 48 - 3 x^{2} d x

128

Schritte zur Lösung

\int_{0}^{4} 48 - 3 x^{2} 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}^{4} 48 d x - \int_{0}^{4} 3 x^{2} d x

\int_{0}^{4} 48 d x = 192

\int_{0}^{4} 3 x^{2} d x = 64

= 192 - 64

Vereinfache

= 128

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