42. Calculator Active Problem
At time \( t \), \( 0 < t < 2.5 \), the velocity of a particle moving along the x-axis is given by\[v(t) = t \cos(t^2)\]
Let \( t = b \) be the time at which the particle changes direction from moving left to moving right.
What is the total distance traveled by the particle during the time \( 0 < t < b \)?
