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If int1^a (3x^2 + 2x +1)dx = 11 then the...

If `int_1^a (3x^2 + 2x +1)dx = 11` then the value of `a` is

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Given, `int_1^a (3x^2 + 2x +1)dx = 11`
=`[x^3+x^2+x]_1^a=11`
=`a^3+a^2+a-1-1-1=11`
=`a^3+a^2+a-14=0`
=`(a-2)(a^2+3a+7)=0`
`a=2`
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