A smooth curve C is traced once by the vector function r(t)=(x(t),y(t)) for a≤t≤b. Let L denote the arc length of C found over the interval [a,b]. Which statement is true about the arc length obtained by instead integrating over the interval [b,a]?
a) It is 2L, because the curve is effectively traversed twice.
b) It is −L, because reversing the limits changes the sign of the integral.
c) It is equal to L; reversing the limits does not change the arc length.
d) It is 0, since integrating over a negative interval yields zero.