# Calculus problem #2046

Calculus Level 4

A thin triangle has vertices $$(0, 0)$$, $$(1, 0)$$ and $$(0, 2).$$ Let the density function at any given point on the triangle be represented by $$\rho (x, y) = 1+3x+y$$. What is the mass of this triangle?

Details and assumptions

The density of a material is defined as $$\rho = \frac{m}{V}$$, where $$\rho$$ is the density, $$m$$ is the mass and $$V$$ is the volume.

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