If f ( x ) is differentiable and _ 0 ^ t^ 2 x f(x) d x= 2 5 t^ 5 then f ( 4 25 ) equals
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If f (x) is differentiable and \[\int_{0}^{t^{2}} x f(x) d x=\frac{2}{5} t^{5}\]then \(f\left(\frac{4}{25}\right)\) equals
- 2/5
- –5/2
- 1
- 5/2
Answer
(D) 5/2
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