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How can I determine $\int xy \;ds$ of a triangle with points $(0,0)$, $(1,0)$ and $(1,1)$ *The integral has the letter $C$, which I am not sure how to input here.

I know it may seem easy, but I am not sure of the working

I know that $ds = \sqrt{dx^2 + dy^2}$ but I do not even know what is $dx$ or $dy$ in this case.

Should I split into three segments? What is the simplest method to solve this?

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    Is the formatting correct now? Are you talking about [**Surface Integrals**](http://en.wikipedia.org/wiki/Surface_integral)?2012-12-23
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    Split into 3 segments. That said, the segments along the coordinate axes are zero, no?2012-12-23

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