integral from 1 to 4 of 25-x^2

Lösung

\int_{1}^{4} 25 - x^{2} d x

54

Schritte zur Lösung

\int_{1}^{4} 25 - 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_{1}^{4} 25 d x - \int_{1}^{4} x^{2} d x

\int_{1}^{4} 25 d x = 75

\int_{1}^{4} x^{2} d x = 21

= 75 - 21

Vereinfache

= 54

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