Let f:(0, ) R and F(x)= _ 0 ^ x f(t) d t If F [ x ^ 2 ]= x ^ 2 (1+ x ) . then f(4) equals
Mathematics · JEE Main · NTA Exams — Integral Calculus
Let \(f:(0, \infty) \rightarrow R \text { and } F(x)=\int_{0}^{x} f(t) d t\)
If \(F\left[\mathbf{x}^{2}\right]=\mathbf{x}^{2}(1+\mathbf{x}) .\) then \(f(4)\) equals
- \(5 / 4\)
- 7
- 4
- 2
Answer
(C) 4
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