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Planar motion (with integrals)

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A particle moving in the xy-plane has velocity vector given by v(t)=(2et,et) for time t0.
What is the magnitude of the displacement of the particle between time t=2 and t=3?
Round to the nearest tenth.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi