Evaluate

Integral from $0$ to $5$ StartRoot $2$ EndRoot divided by $2$ StartFraction $17$ x squared dx Over left parenthesis $25$ minus x squared right parenthesis Superscript $3$ divided by $2$ EndFraction$052/217$x$2$dx$25$x$23/2.$

Question content area bottom

Part $1$

Integral from $0$ to $5$ StartRoot $2$ EndRoot divided by $2$ StartFraction $17$ x squared dx Over left parenthesis $25$ minus x squared right parenthesis Superscript $3$ divided by $2$ EndFraction$052/217$x$2$dx$25$x$23/2$equals$=$enter your response here

$($Type an exact$$ answer, using

pi

and radicals as$$ needed.$)$