integral from 0 to 2 of 3x^2-1

Lösung

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

6

Schritte zur Lösung

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

\int_{0}^{2} 3 x^{2} d x = 8

\int_{0}^{2} 1 d x = 2

= 8 - 2

Vereinfache

= 6

\int_{0}^{20} (2 x - 20) d x

\int_{0}^{2 π} 8 t 2 d t

\int_{- 1}^{1} (2 - x^{2})^{\frac{3}{2}} d x

\int_{0}^{r} (a r^{3} + b r) 2 π r d r

\int_{- 1}^{1} \frac{1}{2} x d x