integral from 0 to 2 of (x^3+4x)

Lösung

\int_{0}^{2} (x^{3} + 4 x) d x

12

Schritte zur Lösung

\int_{0}^{2} x^{3} + 4 x 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} x^{3} d x + \int_{0}^{2} 4 x d x

\int_{0}^{2} x^{3} d x = 4

\int_{0}^{2} 4 x d x = 8

= 4 + 8

Vereinfache

= 12

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

\int_{0}^{2} x 1 + 4 x^{2} d x

\int_{2}^{\infty} \frac{5}{4 + x ^{2}} d x

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

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