3. Find the arc length of the graph by partitioning the x-axis. y = 2/3(x^2+1)^3

Question

3. Find the arc length of the graph by partitioning the x-axis. y = 2/3(x^2+1)^3/2, from x = 1 to x = 4 Additional Materials 4. For the function, do the following. y =square root 25-x^2, from x=0 to x=2 (a) Use the arc length formula (1), Integrate square root 1 + [f?(x)]^2 dx between the limits a and b, to set up the integral for arc length s. s= Integrate 0 ( ) dx (b) If you have access to a graphing utility or a CAS, find the length. Do not attempt to integrate by hand. (Round your answer to five decimal places.) s=

Explanation / Answer

y = 2/3 (x^2 +1 )^3/2

y'= 2x Sqrt (x^2 +1)

sqrt{1+2xsqrt{x^2+1}^2}dx

on plugging the values we get 45

sorry , i am unable to post picture dur to technical issue

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