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Contextual and analytical applications of integration (calculator-active)


A particle moves along the x-axis with velocity v(t)=ln(t2+5t+1).
What is the particle's displacement between the times t=1 and t=5?
Use a graphing calculator and round your answer to three decimal places.
  • 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