MathCastle
CalculusSuperchallenge

Calculus · Superchallenge problem

A function ff is continuous with f(x)≥0f(x)\ge0. Its accumulation function is A(x)=∫0xf(t) dt=x2x+1A(x)=\displaystyle\int_0^xf(t)\,dt=x^2\sqrt{x+1} for all x≥0x\ge0. Find f(3)f(3).

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