Double Integrals Over Rectangular Regions Homework

Directions: Write legibly and in pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution, show all steps, and write the final answer in a sentence. Do not turn in your scratch work. Staple your pages together, in the correct order, and use this page as a cover sheet.

(1) Evaluate the iterated integral

(2) Evaluate the iterated integral

(3) Evaluate the iterated integral

(4) Use iterated integration to compute the double integral of the rectangular region over the rectangle

(5) Use iterated integration to compute the double integral of the rectangular region over the rectangle

(6) Use iterated integration to compute the double integral of the rectangular region over the rectangle

(7) Use iterated integration to compute the double integral of the rectangular region over the rectangle

(8) Find the volume of the solid bounded below by the rectangle in the -plane and above the graph of

(9) Find the volume of the solid bounded below by the rectangle in the -plane and above the graph of

(10) Find the volume of the solid bounded below by the rectangle in the -plane and above the graph of

(11) Evaluate the double integral over the rectangular region, where

(12) Evaluate the double integral over the rectangular region, where

(13) Evaluate the double integral:

    (a)    
    
    (b)

(14) Find the volume of the solid region bounded below by the given rectangle in the -plane and above by the graph of the given surface.

    (a) on
    
    (b) on

(15) If is a constant function, say and show that

(16) Show that the iterated integrals

    and   

have different values.

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Double Integration Over Rectangular Regions Homework
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
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