Finding the Antiderivative of 2xy

[BJducky]

Homework Statement

It is simple: find the antiderivative of 2xy.

Homework Equations

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!