Length of arc

  • Thread starter intelli
  • Start date
  • #1
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Homework Statement



find the length of the arc


x = 3y^ (4/3) - 3/32y^(2/3) and y lies between 0 and 216


Homework Equations



l = integral sqrt (1 + (dy / dx )^2)

The Attempt at a Solution




after integration i got this y + 3/16y ^(-4/3) / (-4/3)

i have to apply 0 and 216 is that correct i get a ridiculous answer
 

Answers and Replies

  • #2
Cyosis
Homework Helper
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You can easily check if your answer is correct or not by differentiating the primitive you've found with respect to y. If it is the correct one it should equal the integrand after differentiation. In your case this is not true, so you didn't integrate correctly.
 
Last edited:

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