# Three Point Cubic

Level pending

A cubic function $$c(x)$$ passes through points $$(1,2)$$, $$(2,7)$$, and $$(4,14)$$.

If $$\displaystyle\int_{1}^{3}c(x)dx=\int_{2}^{4}c(x)dx$$, then what is $$c(3)$$?

×