If is differentiable & defined on R^ + such that _ 0 ^ t^ 2 x f(x) d x= 2 3 t^ 5 then f(4…
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If 
is differentiable & defined on \(R^{+}\) such that \(\int_{0}^{t^{2}} x f(x) d x=\frac{2}{3} t^{5}\)then \(f(4 / 25)=\)
is differentiable & defined on \(R^{+}\) such that \(\int_{0}^{t^{2}} x f(x) d x=\frac{2}{3} t^{5}\)then \(f(4 / 25)=\)- \(\frac{2}{3}\)
- \(-\frac{3}{2}\)
- \(1\)
- \(\frac{3}{2}\)
Answer
(A) 2 3
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