Math
posted by Clare .
dz =(−sinx + 2xy^2)dx +(2x^2 y)dy
Integrate the differential to find the function z.
Would I say that z was equal to two separate differentials and integrate the first part of the function with respect to x and the second part with respect to y?
z = cosx + x^2 y^2 + x^2 y^2 + C
z = cosx + 2(x^2 y^2) + C
Is this right or have I gone wrong?

you can check..
If z=cosx + 2x^2y^2 + C
then dz/dx= sinx + 4xy^2 + 4x^2y dy/dx
which is not exactly what you started with.
check my thinking.