Let $A$ be the triangle with vertices $(0,0)$, $(2,0)$ and $(1,1)$ in $R^2$. I want to find $$I=\int\limits_A (3x^3y-1)\mathrm{d}A.$$ My problem is that I would like to write the triangle in barycentric coordinate and integrate over the domain described in this way. (the integral should result 1/10) Any suggestion?
Integrate a function over a triangle in barycentric coordinate
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integration
triangles
integral-domain
barycentric-coordinates