Evaluate the integral.

Integral from $7$ to $7$ left parenthesis x squared minus $8$ x plus $8$ right parenthesis Superscript $14$ Baseline dx$77$x$28$x$+814$dx

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Part $1$

Integral from $7$ to $7$ left parenthesis x squared minus $8$ x plus $8$ right parenthesis Superscript $14$ Baseline dx$77$x$28$x$+814$dxequals$=$enter your response here

$($Type an exact answer in simplified$$ form.$)$