Least value -2

Calculus Level 4

If ab\dfrac{a}{b} is the least value of the real-valued function

f(x)=(34x2)2+(1+4x2)3,f(x)=\left(3-\sqrt{4-x^2}\right)^2+\left(1+\sqrt{4-x^2}\right)^3,

then what is the value of a+b?a+b?

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