integral from-2 to 3 of 6x^2-5

Lösung

\int_{- 2}^{3} 6 x^{2} - 5 d x

45

Schritte zur Lösung

\int_{- 2}^{3} 6 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_{- 2}^{3} 6 x^{2} d x - \int_{- 2}^{3} 5 d x

\int_{- 2}^{3} 6 x^{2} d x = 70

\int_{- 2}^{3} 5 d x = 25

= 70 - 25

Vereinfache

= 45

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