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Beliebt Rechnen >

integral from 1 to 4 of (x^2)/(sqrt(x))

Lösung

\int_{1}^{4} \frac{x ^{2}}{x} d x

Lösung

\frac{62}{5}

+1

Dezimale

12.4

Schritte zur Lösung

\int_{1}^{4} \frac{x ^{2}}{x} d x

Vereinfache

\frac{x ^{2}}{x} : x^{\frac{3}{2}}

= \int_{1}^{4} x^{\frac{3}{2}} d x

Wende die Potenzregel an

= [\frac{2}{5} x^{\frac{5}{2}}]_{1}^{4}

Berechne die Grenzen:

\frac{62}{5}

= \frac{62}{5}

Graph

Beliebte Beispiele

integral from 0 to 1 of e^{1-t}

\int_{0}^{1} e^{1 - t} d t

integral from 2 to 5 of 5x^2

\int_{2}^{5} 5 x^{2} d x

integral from-2 to 1 of 4

\int_{- 2}^{1} 4 d x

integral from 0 to 1 of x/(x^2)

\int_{0}^{1} \frac{x}{x ^{2}} d x

integral from-3 to 3 of 4

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