Question:
Vectors : Arc length of a space curve
Use the integration capabilities of you graphing utility to approximate the arc length of the space curve given by: vector r(t) = t i + t^3 j + 3t K from the point (1,1,3) to the point (2,8,6). Round your answer to the nearest three decimal places.
I did this problem and got the answer 2.003 X 10^10.
Would you please show me how the problem should be done and what the answer should be, even if I am correct?