The velocity of a particle moving along a line is given by meters per second.
Find the displacement of the particle during the time interval between -2 and 5 seconds.

To find the total distance traveled by the particle during the time interval from -2 to 5 seconds, we must split the integral of the absolute value of velocity into a sum of two integrals

Total distance traveled =

where and are functions and is a number such that

(Absolute values are not allowed.)
(Absolute values are not allowed.)

Total distance traveled = (Include the correct units.)