Let \( f(x)=2 x^{3}-15 x^{2}+24 x \) and \( g(x)=\int_{0}^{x} f(t) ...

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Let \( f(x)=2 x^{3}-15 x^{2}+24 x \) and \( g(x)=\int_{0}^{x} f(t) d t+\int_{0}^{5-x} f(t) d t(0x5) \). If \( g(x) \) is increasing in the interval \( (0, p] \) then value of \( p \) is
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