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Contextual and analytical applications of integration (calculator-active)

AP.CALC: CHA‑4 (EU), CHA‑4.B (LO), CHA‑4.C (LO), CHA‑4.E (LO)


A particle moves along the x-axis with velocity v, left parenthesis, t, right parenthesis, equals, natural log, left parenthesis, t, squared, plus, 5, t, plus, 1, right parenthesis.
What is the particle's displacement between the times t, equals, 1 and t, equals, 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, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text