MathCastle
CalculusChallengeParametric, Polar and Vector-Valued Functions

Parametric, Polar and Vector-Valued Functions · Challenge problem

A particle has velocity v(t)=⟨et−e−t, 2⟩\mathbf v(t)=\langle e^{t}-e^{-t},\ 2\rangle. Find the total distance traveled on 0≤t≤ln⁡30\le t\le\ln 3.