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　$a$，$b$，$c$を実数とするとき，次の不等式を示せ．
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\item[(1)]$\displaystyle\int_{-1}^1{(x^3+ax^2+bx+c)}^2dx\geqq\int_{-1}^1{(x^3+bx)}^2dx$
\item[(2)]$\displaystyle\int_{-1}^1{(x^3+bx)}^2dx\geqq
\int_{-1}^1{\left( x^3-\frac{3}{5}x \right)}^2dx$
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