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Question Number 137697 by Mathspace last updated on 05/Apr/21

let f(x)=x^2 +2x−1  find  ∫ ((f(x))/(f^(−1) (x)))dx and ∫ ((f^(−1) (x))/(f(x)))dx

$${let}\:{f}\left({x}\right)={x}^{\mathrm{2}} +\mathrm{2}{x}−\mathrm{1} \\ $$$${find}\:\:\int\:\frac{{f}\left({x}\right)}{{f}^{−\mathrm{1}} \left({x}\right)}{dx}\:{and}\:\int\:\frac{{f}^{−\mathrm{1}} \left({x}\right)}{{f}\left({x}\right)}{dx} \\ $$

Commented by TheSupreme last updated on 07/Apr/21

f^(−1) (x) is not a function

$${f}^{−\mathrm{1}} \left({x}\right)\:{is}\:{not}\:{a}\:{function} \\ $$

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