What is the integral from 0 to infinity of integral from 0 to y of ce^{-x-y} ?

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

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

\frac{c}{2}

Solution steps

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

\int_{0}^{y} c e^{- x - y} d x = - c (e^{- 2 y} - e^{- y})

= \int_{0}^{\infty} (- c (e^{- 2 y} - e^{- y})) d y

\int_{0}^{\infty} (- c (e^{- 2 y} - e^{- y})) d y = \frac{c}{2}

= \frac{c}{2}

\int \int x^{y} d x d y

\int_{0}^{5} \int_{x}^{2 x} x^{2} e^{x^{2}} d y d x

\int_{0}^{l n (10)} \int_{0}^{l n (5)} e^{x + y} d x d y

\int \int x - y

\int \int \int x^{3} d x d x d x

What is the integral from 0 to infinity of integral from 0 to y of ce^{-x-y} ?
The integral from 0 to infinity of integral from 0 to y of ce^{-x-y} is c/2