integral from 0 to 3 of 6x-x^2

Lösung

\int_{0}^{3} 6 x - x^{2} d x

18

Schritte zur Lösung

\int_{0}^{3} 6 x - x^{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}^{3} 6 x d x - \int_{0}^{3} x^{2} d x

\int_{0}^{3} 6 x d x = 27

\int_{0}^{3} x^{2} d x = 9

= 27 - 9

Vereinfache

= 18

\int_{1}^{2} x^{2} + \frac{1}{x ^{4}} d x

\int_{3}^{4} \frac{2}{25 - x ^{2}} d x

\int_{0}^{4} 3 t - 7 d t

\int_{0}^{1} 3 x - 3 x^{2} d x

\int_{0}^{4} 2 x e^{x^{2}} d x