find the length of the following curve y23x2 132 from x3 to

find the length of the following curve.
y=2/3(x^2 +1)^(3/2) from x=3 to x=9

need exact answer using radicals as needed

Solution

integrating from x=3 to x=9

integral y = (2/3)[{3sinh-1x+(x2+1)(2x3+5x)}/8] from x=3 to x=9

integral y = 2/3(1674.4089)

= 1116.2627

find the length of the following curve. y=2/3(x^2 +1)^(3/2) from x=3 to x=9 need exact answer using radicals as neededSolutionintegrating from x=3 to x=9 integr

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