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Beliebt Rechnen >

integral from 0 to a of (m/(2pi(a-x)))^5

Lösung

\int_{0}^{a} (\frac{m}{2 π ( a - x )})^{5} d x

Lösung

divergiert

Schritte zur Lösung

\int_{0}^{a} (\frac{m}{2 π ( a - x )})^{5} d x

Wende U-Substitution an

= \int_{a}^{0} - \frac{m ^{5}}{32 π ^{5} u ^{5}} d u

Entferne die Konstante:

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

= - \frac{m ^{5}}{32 π ^{5}} \cdot \int_{a}^{0} \frac{1}{u ^{5}} d u

Wende die Potenzregel an

= - \frac{m ^{5}}{32 π ^{5}} [- \frac{1}{4 u ^{4}}]_{a}^{0}

Berechne die Grenzen:

divergiert

= divergiert

Beliebte Beispiele

fläche y=3x^4-3x^2,y=3x^2

a re a y = 3 x^{4} - 3 x^{2}, y = 3 x^{2}

limit as x approaches 2 of (2x+4)/(x-7)

x \to 2 lim (\frac{2 x + 4}{x - 7})

integral of 10^{-3x}

\int 1 0^{- 3 x} d x

derivative of (e^x^3)

\frac{d}{d x} ((e^{x})^{3})

derivative of (x-1^2sin(1/(x-1)))

\frac{d}{d x} ((x - 1)^{2} sin (\frac{1}{x - 1}))