What is the integral of integral of e^{-(9x^2+y^2)} ?

The integral of integral of e^{-(9x^2+y^2)} is Cx+(sqrt(pi))/6 Ae^{-y^2}\erf(sqrt(9)x)+C

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integral of integral of e^{-(9x^2+y^2)}

\int \int e^{- (9 x^{2} + y^{2})} d A

C x + \frac{π}{6} A e^{- y^{2}} erf (9 x) + C

Solution steps

\int \int e^{- (9 x^{2} + y^{2})} d A

\int e^{- (9 x^{2} + y^{2})} d A = e^{- y^{2} - 9 x^{2}} A + C

= \int (e^{- y^{2} - 9 x^{2}} A + C)

\int (e^{- y^{2} - 9 x^{2}} A + C) d x = C x + \frac{π}{6} A e^{- y^{2}} erf (9 x) + C

= C x + \frac{π}{6} A e^{- y^{2}} erf (9 x) + C

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

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\int \int x + 2 y

\int \int 2 + cos (x) d x d x

\int_{0}^{2 π} \int_{0}^{1} r e^{r^{2}} d r d θ

What is the integral of integral of e^{-(9x^2+y^2)} ?
The integral of integral of e^{-(9x^2+y^2)} is Cx+(sqrt(pi))/6 Ae^{-y^2}\erf(sqrt(9)x)+C