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Beliebt Rechnen >

integral from 3 to 5 of x^{3/2}

Lösung

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

Lösung

10 \cdot 5^{\frac{1}{2}} - \frac{18 \cdot 3 ^{\frac{1}{2}}}{5}

+1

Dezimale

16.12529 \dots

Schritte zur Lösung

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

Wende die Potenzregel an

= [\frac{2}{5} x^{\frac{5}{2}}]_{3}^{5}

Berechne die Grenzen:

10 \cdot 5^{\frac{1}{2}} - \frac{18 \cdot 3 ^{\frac{1}{2}}}{5}

= 10 \cdot 5^{\frac{1}{2}} - \frac{18 \cdot 3 ^{\frac{1}{2}}}{5}

Graph

Beliebte Beispiele

integral from 0 to 2 of 2te^{-t^2}

\int_{0}^{2} 2 t e^{- t^{2}} d t

integral from 1 to 8 of 5/t

\int_{1}^{8} \frac{5}{t} d t

integral from-4 to 2 of 2x

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

integral from x to y of 1/x

\int_{x}^{y} \frac{1}{x} d x

integral from 1 to 16 of (x^{-3/4})

\int_{1}^{16} (x^{- \frac{3}{4}}) d x