Evaluate the following integral.

Integral from nothing to nothing $2$ sine Superscript $9$ Baseline left parenthesis $3$ x right parenthesis cosine cubed left parenthesis $3$ x right parenthesis dx$2$sin$9(3$x$)$cos$3(3$x$)$dx

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Part $1$

Integral from nothing to nothing $2$ sine Superscript $9$ Baseline left parenthesis $3$ x right parenthesis cosine cubed left parenthesis $3$ x right parenthesis dx$2$sin$9(3$x$)$cos$3(3$x$)$dxequals$=$enter your response here

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