Investigate for maxima and minima the function, \( f(x)^{*}=\int_{1...

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Investigate for maxima and minima the function, \( f(x)^{*}=\int_{1}^{x}\left[2(t-1)(t-2)^{3}+3(t-1)^{2}(t-2)^{2}\right] d t \).
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