not sure if that title makes sense...

here's the problem i need to solve

find the integral of: (ye^xy)dx

so since i'm integrating with respect to x, i first just tack on an x, to get:

xye^xy. right?

now i need to divide by the derivative of xy, since e^xy. this is where i'm stuck. since i'm integrating only with x, does that mean i take the partial derivative of xy with respect to x? leaving me with just y.

so then i'd end up with xe^xy. is that the right answer?