Indefinite IntegrationHard

Question

If + C, then

Options

A.f(x) = 2x2 - 2x + 1
B.g(x) = x + 1
C.g(x) = x
D.f(x) =

Solution

     Put  2 - = t2, then dx  = t dt
⇒ I = = t + C = + C  = + C
So    f(x) = and g(x) = x

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