If (x)= _ 1 x ^ x [t^ 2 ] d t_ 1 then ^ (1) is equal to

Mathematics · JEE Main · NTA ExamsIntegral Calculus

\[\text { If } \phi(x)=\int_{\frac{1}{x}}^{\sqrt{x}} \sin \left[t^{2}\right] d t_{1} \text { then } \phi^{\prime}(1) \text { is equal to }\]
  1. sin 1
  2. 2 sin 1
  3. \(\frac{3}{2} \sin 1\)
  4. None of these

Answer

(C) 3 2 1

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