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

Lösung

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

45

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{45}{4}

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

Vereinfache

= 45

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

\int_{1}^{2} \frac{y ^{2} + 1}{y ^{2}} d y

\int_{0}^{2 π} sin^{7} (x) d x

\int_{1}^{\infty} n^{- 3}

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