integral from 0 to 2 of x^3+3

Lösung

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

10

Schritte zur Lösung

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

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

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

= 4 + 6

Vereinfache

= 10

\int_{1}^{3} x^{3} + 1 d x

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

\int_{0}^{1} (2 - 3 x)^{4} d x

\int_{- \infty}^{\infty} e^{- j wt} d t

\int_{0}^{1} \frac{x ^{2}}{( 1 + x ^{2} )} d x