If \( \int_{1}^{a}\left(3 x^{2}+2 x+1\right) d x=11 \), find the value(s) of \( a \).

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If \( \int_{1}^{a}\left(3 x^{2}+2 x+1\right) d x=11 \), find the value(s) of \( a \).
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