Multivariable Calculus | ArcLength Example

[@junxionglu4079]

The i component should be the square root of 2 times t, not just the square root of 2

[@infinityking194]

The vector you're talking of, is the derivative of the initial vector. The i component of r(t) is indeed √2t, however it's its derivative, r'(t) that he's written inside the square root, whose i component is √2.