Question

Use the following formulas to set up two integrals for the arc length from (0, 0)...

Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Observe that one of these is an improper integral.

(I)  L =
b
1 +
dy
dx
2
dx
a
(II)  L =
d
1 +
dx
dy
2
dy
c
L =
1

√1+49x(23​)​

   dx
0
=

1.4397

  
L =
1

√1+94​ydy

   dy
0
=

1.4397

  



(c) Find the length of the arc of this curve from

(−1, 1) to (8, 4).

37.8014

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