Consider the two curves `y = 1//x^(2)` and ` y = 1//[4(x-1)]`.
At what value of `'a' (a gt 2)` is the reciprocal of the area of the figure bounded by the curves, the lines `x = 2` and `x = a` equal to `'a'` itself ?
(ii) At what value of `'b' (1 lt b lt 2)` the area of the figure bounded by the these curves, the lines `x = b` and `x = 2` equal to `1-1//b`.

Answer

(i) `a = 1+e^(2)` , (ii) `b = 1+ e^(-2)`