will be a VECTOR, not a scalar value. . So
So your arclength will be found by . Let and note that and , then the integral becomes
The problem wants me to find the arc length of r(t) as t moves from 0 to 1.
definition of the length of a curve (were refers to the magnitude of the vector );
I'm pretty lost on this one. I've tried a few different things and haven't gotten any farther. Have I just made an early mistake that I'm not seeing?