If g(x) d x=g(x) then g(x) (f(x)+f^ (x) ) d x is equal to

Mathematics · JEE Advanced · NTA ExamsIntegral Calculus

If \(\int g(x) d x=g(x) \text { then }\)\(\int g(x)\left(f(x)+f^{\prime}(x)\right) d x\)is equal to
  1. g(x) f (x) – g (x) f’(x) + c
  2. g (x) f’(x) + c
  3. g(x) f (x) + c
  4. g (x) f2 (x) + c

Answer

(C) g(x) f (x) + c

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