integral from 1 to 8 of 4/3 x^{1/3}

Lösung

\int_{1}^{8} \frac{4}{3} x^{\frac{1}{3}} d x

15

Schritte zur Lösung

\int_{1}^{8} \frac{4}{3} x^{\frac{1}{3}} d x

Entferne die Konstante:

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

= \frac{4}{3} \cdot \int_{1}^{8} x^{\frac{1}{3}} d x

Wende die Potenzregel an

= \frac{4}{3} [\frac{3}{4} x^{\frac{4}{3}}]_{1}^{8}

Berechne die Grenzen:

\frac{45}{4}

= \frac{4}{3} \cdot \frac{45}{4}

Vereinfache

= 15

\int_{0}^{1} (5 x^{2} - 8 x + 6) d x

\int_{1}^{2} k x d x

\int_{0}^{2.8} 3 3 x + 4 d x

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

\int_{- \infty}^{0} \frac{1}{e ^{x} + 1} d x