Evaluate the following integral.

Integral from nothing to nothing $3$ x squared left parenthesis x cubed plus $2$ right parenthesis dx$3$x$2$x$3+2$dx

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Part $1$

Integral from nothing to nothing $3$ x squared left parenthesis x cubed plus $2$ right parenthesis dx$3$x$2$x$3+2$dxequals$=$enter your response here

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