Arc length of r(t) = <10√2, e^10t, e^-10t> from t = 0 to 1

[megr_ftw]

Homework Statement

Find the arc length of r(t)= <10sqrt(2), e^10t, e^-10t>, 0 <_ t <_ 1.
<_ is greater than or equal to.

Homework Equations

arc length= integral(magnitude of the derivative of r(t))

The Attempt at a Solution

i thought I figured the answer out and got an arc length of 31149.3, but my online homework is telling me this is the wrong answer. I am not sure what I am doing wrong.

 

[Mark44]

We can't tell you what you did wrong if we can't see your work. Please show us what you got for r'(t) and |r'(t)|.