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***In each paragraph 3 multiple choice questions are given. Each of these questions has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.*

*Paragraph: Consider the functions defined implicitly by the equation *

*y*

^{3}−3

*y*+

*x*=0 on various intervals in the real line. If

*x*∈ (−∞,−2) ∪(2,∞) the equation implicitly defines a unique real valued differentiable function y = f(x). If

*x*∈ (−2, 2), the equation implicitly defines a unique real valued differentiable function y = g(x) satisfying g(0)=0.

The area of the region bounded by the curves y = f(x), the x-axis and the lines x = a and x = b, where −∞<

*a*<

*b*<−2, is