Suponha que [tex]f(x)=ax^2+bx+c[/tex] e [tex]\int\limits^{1}_{-1} {x^2f(x)} \, dx =2[/tex]
Encontre a função [tex]f(x)[/tex] que resule num valor mínimo de [tex]\int\limits^{1}_{-1} {[f(x)]^2} \, dx[/tex]
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