If f(x)= _ 0 ^ x t t d t then f^ (x) is

Mathematics · JEE Main · NTA ExamsIntegral Calculus

If \(f(x)=\int_{0}^{x} t \sin t d t\) then \(f^{\prime}(x)\) is
  1. \(\cos x+x \sin x\)
  2. \(x \cos x+\sin x\)
  3. \(x \cos x\)
  4. \(x \sin x\)

Answer

(D) x x

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