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The Definite Integral




                   by the end of this class you should be
                   able to say why we began by looking
                   at this picture ...




      rectangles
The velocity of an object in feet per second is given in the table below.




(a) Sketch a velocity-time graph from the table.
(b) Give a lower and upper estimate of the distance traveled in 5 seconds.
The velocity of an object in feet per second is given in the table below.




(c) Estimate the actual distance traveled.
The velocity of an object in feet per second is given in the table below.




(d) On the velocity-time graph show a representation of the lower estimate
in terms of a shaded region of the graph.
The velocity of an object in feet per second is given in the table below.




(a) Sketch a velocity-time graph from the table.
(b) Give a lower and upper estimate of the distance traveled in 5 seconds.
(c) Estimate the actual distance traveled.
(d) On the velocity-time graph show a representation of the lower estimate
in terms of a shaded region of the graph.
The Definite Integral




                   Why did we begin by looking at this
                   picture?




      rectangles
Ap Calc Oct22

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Ap Calc Oct22

  • 1. The Definite Integral by the end of this class you should be able to say why we began by looking at this picture ... rectangles
  • 2. The velocity of an object in feet per second is given in the table below. (a) Sketch a velocity-time graph from the table. (b) Give a lower and upper estimate of the distance traveled in 5 seconds.
  • 3.
  • 4. The velocity of an object in feet per second is given in the table below. (c) Estimate the actual distance traveled.
  • 5. The velocity of an object in feet per second is given in the table below. (d) On the velocity-time graph show a representation of the lower estimate in terms of a shaded region of the graph.
  • 6. The velocity of an object in feet per second is given in the table below. (a) Sketch a velocity-time graph from the table. (b) Give a lower and upper estimate of the distance traveled in 5 seconds. (c) Estimate the actual distance traveled. (d) On the velocity-time graph show a representation of the lower estimate in terms of a shaded region of the graph.
  • 7.
  • 8. The Definite Integral Why did we begin by looking at this picture? rectangles