What is the length of the plane curve defined by r(t) = <t^2 + 1, t^3 - 2> for t is an element of [0,2]?
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Arc length for a parametric curve is given by:
So would it be
Is this the right answer?
Not quite. Aren't your limits of integration 0 to 2?. Use those, not a and b. That was just for an illustration of the formula.
Yes, so it would be
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