# Just Some Twos!

Calculus Level 5

Say $$f(x),g(x),h(x)$$ are functions defined for all positive reals $$x$$, by the following statements.

-$$f(x)=g(x)-h(x)$$

-$$f(x)=\frac{(g(x))^2-1}{g(x)}$$

-$$g(x)=x^3$$

In the first quadrant, the area enclosed between the three functions and the x-axis is given by $$\frac{2^a-2^b-2^c}{2^2}$$. Find $$a+b+c$$

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