integral from 1 to 3 of (3x^2-5)

Lösung

\int_{1}^{3} (3 x^{2} - 5) d x

16

Schritte zur Lösung

\int_{1}^{3} 3 x^{2} - 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}^{3} 3 x^{2} d x - \int_{1}^{3} 5 d x

\int_{1}^{3} 3 x^{2} d x = 26

\int_{1}^{3} 5 d x = 10

= 26 - 10

Vereinfache

= 16

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