integral from 0 to 8 of 1+\sqrt[3]{x}

Lösung

\int_{0}^{8} 1 + 3 x d x

20

Schritte zur Lösung

\int_{0}^{8} 1 + 3 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}^{8} 1 d x + \int_{0}^{8} 3 x d x

\int_{0}^{8} 1 d x = 8

\int_{0}^{8} 3 x d x = 12

= 8 + 12

Vereinfache

= 20

\int_{0}^{5} \frac{2}{( x + 2 ) ^{2}} d x

\int_{0}^{π} 200 cos (n x) d x

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

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

\int_{l n (0.5)}^{0} e^{x} d x