integral from 1 to 4 of (3x^2+5)

Lösung

\int_{1}^{4} (3 x^{2} + 5) d x

78

Schritte zur Lösung

\int_{1}^{4} 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}^{4} 3 x^{2} d x + \int_{1}^{4} 5 d x

\int_{1}^{4} 3 x^{2} d x = 63

\int_{1}^{4} 5 d x = 15

= 63 + 15

Vereinfache

= 78

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