Let f:[0, ) R and F(x)= _ 0 ^ x f(t) d t . If F [ x ^ 2 ]= x ^ 2 [1+ x ] , then f(4)…
Mathematics · JEE Main · NTA Exams — Integral Calculus
Let \(f:[0, \infty) \rightarrow R\) 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
- \(\frac{5}{7}\)
- 7
- 4
- 2
Answer
(D) 2
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