อีกข้อหนึ่งนะครับ
Consider the functions $f(x)= min \left\{\,\right. x^3 +1,3-x \left.\,\right\} $,
$ F(x) = \int_{1}^{x}\, f(t) dt $ where $min \left\{\,\right. p,q \left.\,\right\} = \cases{p & , p \leqslant q \cr q & , p > q} $
Find the maximal value and the minimal value of $F(x)$
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