If (t+ 1+t^2 ) 1+t^2 dt= 1 2 [g(t) ]^2+c, (where c is a constant of integration) then g(2) is

MHT CET 2023 Mathematics question

If , (where c is a constant of integration) then g(2) is

Answer: (D)

Put . Then . So the integral is . Comparing with

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Question ID VK-097954