If F(x)= 1 x^ 2 _ 4 ^ x (4 t^ 2 -2 F^ (t) ) d t then F^ (4) equals –
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(F(x)=\frac{1}{x^{2}} \int_{4}^{x}\left(4 t^{2}-2 F^{\prime}(t)\right) d t\) then \(F^{\prime}(4)\) equals –
- \(\frac{32}{9}\)
- \(\frac{64}{9}\)
- \(\frac{(2 F(4))^{5}}{9}\)
- \(\frac{11 F(8)}{28}\)
Answer
(A) 32 9, (D) 11 F(8) 28
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