- #1
Cassi
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Homework Statement
A curve has the equation y2 = x3. Find the length of the arc joining (1, - 1) to (1, 1).
Homework Equations
The Attempt at a Solution
I took the integral of the distance and tried to evaluate from -1 to 1.
L = [intergral (-1 to 1) sqrt (1+(dy/dx x^3/23/2)2 dx]
Evaluated I got [integral (-1 to 1) sqrt (1+9x/4) dx]
1/27 [4+9x]3/2 ] exaluated from -1 to 1
I know the answer is supposed to be (26sqrt(13) - 16)/27 and mine is not coming out to that. Is there a mistake somewhere?