Calculus II Bonus (Practice) Problems For Exam II

1.  Integrate the function pictured in the figure on the left below with limits of integration from 0 to 4.  This is an improper integral so set it up in terms of limits.

2.  Integrate the function pictured in the figure in the center below with limits of integration from 0 to 3.  This is an improper integral so set it up in terms of a limit.

3.  Find the volume of Gabriel's horn (see figure below on the right, click on it to see an animation, and Example 11, page 586 in your text) and show that the surface area is infinite.  Maple Picture

Gabriel's Horn DPGraph Picture1      DPGraph Picture2

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        Lane Vosbury, Mathematics, Seminole State College   email:  vosburyl@seminolestate.edu

        This page was last updated on 08/21/14          Copyright 2002          webstats