Let f(x) and g(x) be two differentiable function such that f(x)= x^3 ÷2 + 1 - x multiply by integration from 0 to x g(t)dt and g(x)= x- integration from 0 to 1 f(t)dt . Also suppose a=|f(x)-g(x)| for every x belong to R and b= minimum distance between the curves f(x) and g(x) then (a+b) = ?
