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Beliebt Rechnen >

integral from 0 to infinity of integral from 0 to infinity of e^{-x-y}

Lösung

\int_{0}^{\infty} \int_{0}^{\infty} e^{- x - y} d x d y

Lösung

1

Schritte zur Lösung

\int_{0}^{\infty} \int_{0}^{\infty} e^{- x - y} d x d y

\int_{0}^{\infty} e^{- x - y} d x = e^{- y}

= \int_{0}^{\infty} e^{- y} d y

\int_{0}^{\infty} e^{- y} d y = 1

= 1

Beliebte Beispiele

fläche y=x^3-5x,y=11x

a re a y = x^{3} - 5 x, y = 11 x

limit as x approaches 8 of (8/x-1)/(x-8)

x \to 8 lim (\frac{\frac{8}{x} - 1}{x - 8})

derivative e^{-sqrt(x)}

d er i v a t i v e e^{- x}

limit as x approaches 8 of 1/(x-8)

x \to 8 lim (\frac{1}{x - 8})

tangent 6/(x+4)

t an g e n t \frac{6}{x + 4}