What is the integral of integral of e^{-(x+y)} ?

The integral of integral of e^{-(x+y)} is Cy+e^{-x-y}+C

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integral of integral of e^{-(x+y)}

\int \int e^{- (x + y)} d x d y

C y + e^{- x - y} + C

Solution steps

\int \int e^{- (x + y)} d x d y

\int e^{- (x + y)} d x = - e^{- y - x} + C

= \int (- e^{- y - x} + C) d y

\int (- e^{- y - x} + C) d y = C y + e^{- x - y} + C

= C y + e^{- x - y} + C

\int \int 8 x^{3} + 2 y^{2} d y d x

\int \int x + y d x d y

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

\int \int x^{2} + y d x d y

\int_{1}^{3} \int_{2}^{4} e^{x^{2} + y^{2}} d y d x

What is the integral of integral of e^{-(x+y)} ?
The integral of integral of e^{-(x+y)} is Cy+e^{-x-y}+C