Simplifying an integration problem involving a radical.

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 );

so and

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?

Re: Simplifying an integration problem involving a radical.

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

Re: Simplifying an integration problem involving a radical.

Quote:

Originally Posted by

**Prove It** 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

Thank you. That makes perfect sense.