Question

find the length of the parametric curve.
x=2t
y=t ^{3}/3+1/t

1 14 years ago

Answer 1

\[\int\limits_{1}^{5}\sqrt{(dx/dt)^{2} + (dy/dt)^{2}}dt\]

Answer 2

can you show me the step? :(

Answer 3

\[\int\limits_{1}^{5}\sqrt{4 + (t ^{2} - 1/t ^{2})^{2}}dt\]

Answer 4

the part under the root becomes (t^2 + t^(-2))^2

Answer 5

so its
t^2dt + t^(-2)dt

Answer 6

so thats the final answer??

Answer 7

jojo, you need to integrate him1618 last answer from 1 to 5.

Answer 8

okay thanks for the hint! :)