Question

Find the length of the curve. y=1/6x^3 +1/2x from x=1 to x=2

Answer 1

\[\int\limits_{1}^{2}F. dS\]

Answer 2

\[\int\limits_{1}^{2}f(r(t))\left| r'(t) \right| dt\]

Answer 3

You now need to find the r(t) function

Answer 4

what is the Rt function?

Answer 5

its a parameterization.

But in your case maybe its easier to use the following formula:


\[L = \int\limits_{a}^{2} \sqrt{1 + [f'(x)^{2}]}\]

Answer 6

where f'(x) its the derivate = (1/2)*(x^2 +1)

Answer 7

answer = 1.95671

Answer 8

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