已知(3x^2y+8xy^2)dx+(x^3+8x^2y+12ye^y)dy是xOy某一函数u(x.y)的全微分,求这个u(x.y).

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已知(3x^2y+8xy^2)dx+(x^3+8x^2y+12ye^y)dy是xOy某一函数u(x.y)的全微分,求这个u(x.y).
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已知(3x^2y+8xy^2)dx+(x^3+8x^2y+12ye^y)dy是xOy某一函数u(x.y)的全微分,求这个u(x.y).
已知(3x^2y+8xy^2)dx+(x^3+8x^2y+12ye^y)dy是xOy某一函数u(x.y)的全微分,求这个u(x.y).

已知(3x^2y+8xy^2)dx+(x^3+8x^2y+12ye^y)dy是xOy某一函数u(x.y)的全微分,求这个u(x.y).