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Consider the function defined implicitly by the equation y^3-3y+x=0 on various intervals in the real line. If x in (-oo,-2) uu (2,oo), the equation implicitly defines a unique real-valued defferentiable function y=f(x). If x in (-2,2), the equation implicitly defines a unique real-valud diferentiable function y-g(x) satisfying g_(0)=0. int_(-1)^(1)g'(x)dx is equal to |
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