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Homework Statement
The given curve is r(t) = <t2, 2t, -3>
Write an equation for the length of the curve from <0,0,-3> to <1, 2, -3>
2. The attempt at a solution
I take the derivative of r(t) for r'(t), then plug it into the length formula.
L = ∫ of √( (2t)2 + 22 )
For the Integral, I put from 0 to 1, because in the original equation, the x component t2 = 1 when t is 1, and the y component 2t = 2 when t is 1.
Am I doing something wrong? o_o