valuate the integral

Integral from StartFraction StartRoot $2$ EndRoot Over $2$ EndFraction to $1$ StartFraction dy Over y StartRoot $4$ y squared minus $1$ EndRoot EndFraction$221$dyy$4$y$21.$

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Part $1$

Integral from StartFraction StartRoot $2$ EndRoot Over $2$ EndFraction to $1$ StartFraction dy Over y StartRoot $4$ y squared minus $1$ EndRoot EndFraction$221$dyy$4$y$21$equals$=$enter your response here

$($Type an exact answer in terms of

pi$.)$