integral from 0 to 8 of 5/(x^{2/3)}

Lösung

\int_{0}^{8} \frac{5}{x ^{\frac{2}{3}}} d x

30

Schritte zur Lösung

\int_{0}^{8} \frac{5}{x ^{\frac{2}{3}}} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int_{0}^{8} \frac{1}{x ^{\frac{2}{3}}} d x

Wende die Potenzregel an

= 5 [3 x^{\frac{1}{3}}]_{0}^{8}

Berechne die Grenzen:

6

= 5 \cdot 6

Vereinfache

= 30

t an g e n t y = 2 x^{2} + 1

\frac{d}{d x} ((cos (3 x))^{x})

\int x (3 x + x + 1) d x

d er i v a t i v e f (x) = sin (x) ln (x^{2} + 1)

x \to π lim (9 cot (x))