integral from 0 to 5 of (3x^2+2)

Lösung

\int_{0}^{5} (3 x^{2} + 2) d x

135

Schritte zur Lösung

\int_{0}^{5} 3 x^{2} + 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}^{5} 3 x^{2} d x + \int_{0}^{5} 2 d x

\int_{0}^{5} 3 x^{2} d x = 125

\int_{0}^{5} 2 d x = 10

= 125 + 10

Vereinfache

= 135

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

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