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Beliebt Rechnen >

integral from 10 to 5 of \sqrt[3]{x}

Lösung

\int_{10}^{5} 3 x d x

Lösung

- \frac{15 3 5}{2 ^{\frac{2}{3}}} + \frac{15 3 5}{4}

+1

Dezimale

- 9.74585 \dots

Schritte zur Lösung

\int_{10}^{5} 3 x d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{5}^{10} 3 x d x

Wende die Potenzregel an

= - [\frac{3}{4} x^{\frac{4}{3}}]_{5}^{10}

Berechne die Grenzen:

\frac{15 3 5}{2 ^{\frac{2}{3}}} - \frac{15 3 5}{4}

= - (\frac{15 3 5}{2 ^{\frac{2}{3}}} - \frac{15 3 5}{4})

Vereinfache

= - \frac{15 3 5}{2 ^{\frac{2}{3}}} + \frac{15 3 5}{4}

Graph

Beliebte Beispiele

steigung (-6,9),(7,-9)

s l o p e (- 6, 9), (7, - 9)

(\partial)/(\partial x)(xln(x+2y+3z))

\frac{\partial}{\partial x} (x ln (x + 2 y + 3 z))

derivative of (csc(3x)/(x^3+1))

\frac{d}{d x} (\frac{csc ( 3 x )}{x ^{3} + 1})

integral of te^{2t}

\int t e^{2 t} d t

integral of sin^4(3t)

\int sin^{4} (3 t) d t