Integrating xy

[BJducky]

1. The problem statement, all variables and given/known data
It is simple: find the antiderivative of 2xy.


2. Relevant equations



3. The attempt at a solution
I am inclined to say that it equals (xy)^2 +c, but can't help but feel i have left out something.

[rock.freak667]

What are you integrating with respect to? Are both x and y variables?

[BJducky]

Yes, they are both variables.

[HallsofIvy]

What are you integrating with respect to? Are both x and y variables?

Yes, they are both variables.
Then answer the question! You want to find the anti-derivative with respect to which variable?

\int 2xy dx= x^2y+ C

\int 2xy dy= xy^2+ C

Choose one!