Let f:[0,∞)→R be a continuous and strictly increasing function such that f3(x)=∫x0t.f2(t)dt,∀x>0 The area enclosed by y=f(x) , the x-axis and the ordinate at x=3, is

Let f:[0,∞)→R be a continuous and strictly increasing function su

1.	Let f:[0,∞)→R be a continuous and strictly increasing function such that f3(x)=∫x0t.f2(t)dt,∀x>0 The area enclosed by y=f(x) , the x-axis and the ordinate at x=3, is
Answer» Let $f : [0, \infty) \to R$ be a continuous and strictly increasing function such that $f^{3} (x) = \int_{0}^{x} t . f^{2} (t) d t, \forall x > 0$ The area enclosed by y=f(x) , the x-axis and the ordinate at x=3, is

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Let f:[0,∞)→R be a continuous and strictly increasing function such that f3(x)=∫x0t.f2(t)dt,∀x&gt;0 The area enclosed by y=f(x) , the x-axis and the ordinate at x=3, is

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Let f:[0,∞)→R be a continuous and strictly increasing function such that f3(x)=∫x0t.f2(t)dt,∀x>0 The area enclosed by y=f(x) , the x-axis and the ordinate at x=3, is