If _ x ^ 1 t^ 2 f(t) d t=(1- x) . then f ( 1 3 ) equals

Mathematics · JEE Main · NTA ExamsIntegral Calculus

If \(\int_{\sin x}^{1} t^{2} f(t) d t=(1-\sin x) .\) \(\text { then } f\left(\frac{1}{\sqrt{3}}\right) \text { equals }\)
  1. \(\frac{1}{3}\)
  2. \(\frac{1}{\sqrt{3}}\)
  3. \(\sqrt{3}\)
  4. 3

Answer

(A) 1 3

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