Evaluate.$($Be sure to check by$$ differentiating!$)$

Integral from nothing to nothing left parenthesis $2$ plus x Superscript $8$ Baseline right parenthesis Superscript $8$ Baseline x Superscript $7$ Baseline dx$2+$x$88$x$7$dx

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Part $1$

Integral from nothing to nothing left parenthesis $2$ plus x Superscript $8$ Baseline right parenthesis Superscript $8$ Baseline x Superscript $7$ Baseline dx$2+$x$88$x$7$dxequals$=$enter your response here

$($Type an exact answer. Use parentheses to clearly denote the argument of each$$ function.$)$