Evaluate the integral.

Integral from $1$ to $4$ left parenthesis $2$ x plus StartRoot x EndRoot right parenthesis dx$142$x$+$xdx

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Part $1$

Integral from $1$ to $4$ left parenthesis $2$ x plus StartRoot x EndRoot right parenthesis dx$142$x$+$xdxequals$=$enter your response here

$($Type an exact$$ answer.$)$