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

Lösung

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

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

Schritte zur Lösung

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

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

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

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

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

\int \int ln (x) d x d x

\int \int e^{2 x} d x d x

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

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

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