e^ x/2 e^ -x -e^ x dx= ^ -1 (f(x))+C, (where C is a constant of integration) then f(2) has the value

MHT CET 2022 Mathematics question

, (where C is a constant of integration) then f(2) has the value

Answer: (B)

Write . Then the integrand is . Put , :

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Question ID VK-094333