Instructions

Consider the functions defined implicitly by the equation $$y^2 - 3y + x = 0$$ on various intervals in the real line. If $$x \in (-\infty, -2) \bigcup (2, \infty)$$, the equation implicitly defines a unique real valued differentiable function y = f(x). If $$x \in (-2, 2)$$, the equation implicitly defines a unique real valued differentiable function y = g(x) satisfying g(0) = 0.

Question 19

The area of the region bounded by the curve y = f(x), the x-axis, and the lines x = a and x = b, where $$-\infty < a < b < -2$$, is

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JEE (Advanced) 2008 Paper-1

The area of the region bounded by the curve y = f(x), the x-axis, and the lines x = a and x = b, where $$-\infty < a < b < -2$$, is

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