anonymous
  • anonymous
find the length of the parametric curve. x=2t y=t ^{3}/3+1/t 1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\int\limits_{1}^{5}\sqrt{(dx/dt)^{2} + (dy/dt)^{2}}dt\]
anonymous
  • anonymous
can you show me the step? :(
anonymous
  • anonymous
\[\int\limits_{1}^{5}\sqrt{4 + (t ^{2} - 1/t ^{2})^{2}}dt\]

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anonymous
  • anonymous
the part under the root becomes (t^2 + t^(-2))^2
anonymous
  • anonymous
so its t^2dt + t^(-2)dt
anonymous
  • anonymous
so thats the final answer??
watchmath
  • watchmath
jojo, you need to integrate him1618 last answer from 1 to 5.
anonymous
  • anonymous
okay thanks for the hint! :)

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