f(x)+f1(x)f(x) +f^{-1}(x)

Calculus Level 3
  • If f(a)=af(a) =a and f(b)=bf(b) =b, then find the value of aa that makes ab[f(x)+f1(x)]dx=b22a+1\int_{a}^{b} [f(x) + f^{-1} (x)]dx = b^2-2a+1
  • [f(x)f(x) and f1(x)f^{-1}(x) are functions]
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