Finding arc length of a parametric curve with x=√5sin(2t)-2 and y=√5cos(2t)-√3

[mugzieee]

i got a problem that says:
x=sqrt(5)sin2t -2
y=sqrt(5)cos2t - sqrt(3)

how would i go about starting it?

 

[Justin Lazear]

Do you know the equation for arc length for a parameterized curve?

--J

 

[dextercioby]

One other thing:You may want to know between which points you wish to compute the length...?In other words,give 2 distinct values of "t"...The integral doesn't seem to be difficult...

Daniel.

 

[xanthym]

i got a problem that says:
x=sqrt(5)sin2t -2
y=sqrt(5)cos2t - sqrt(3)

how would i go about starting it?

$$:(1): \ \ \ \ (CurveLength_{t=a}^{t=b}) = \int_{a}^{b} \sqrt { (\frac {dy} {dt})^2 + (\frac {dx} {dt})^2} \ \ dt$$

(HINT: If solved correctly, this problem simplifies very rapidly!)


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