integral from 2 to 4 of (10+4x-3x^3)

Lösung

\int_{2}^{4} (10 + 4 x - 3 x^{3}) d x

- 136

Schritte zur Lösung

\int_{2}^{4} 10 + 4 x - 3 x^{3} 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}^{4} 10 d x + \int_{2}^{4} 4 x d x - \int_{2}^{4} 3 x^{3} d x

\int_{2}^{4} 10 d x = 20

\int_{2}^{4} 4 x d x = 24

\int_{2}^{4} 3 x^{3} d x = 180

= 20 + 24 - 180

Vereinfache

= - 136