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Black Book Advanced Problems in MathematicsMathematicsArea Under Curves

Paragraph: **:** Let f : A B , f(x) = x + a bx^2 + cx + 2 , where A represents domain set and B represents range set of function f(x) , a, b, c R , f(-1) = 0 and y = 1 is an asymptote of y = f(x) and y = g(x) is the inverse of f(x) . The value of _ j=0 ^ S_j equals to:

Options

  1. Ae^ (1+e^ ) 2(e^ - 1)
  2. B1+e^ 2(e^ - 1)
  3. C1+e^ e^ - 1
  4. De^ (1+e^ ) (e^ - 1)

Correct answer

B. 1+e^ 2(e^ - 1)

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