Unformatted text preview: an integral for the area enclosed by the curves x = y 2 , y = x + 5, y = 2, and y = 0 (see the diagram). y l1 l2 c x Answer. R 2 y 2-( y-5 ) dy Problem III. Sketch the region bounded by y = x 4 and y = 1. Set up but do not evaluate an integral for the area generated by revolving this region around the line y = 2. Answer. By the washer method the volume is π R 1-1 (( 2-x 4 ) 2-1 2 ) dx . By the shell method it is 2 π R 1 ( 2-y )( 2 y 1 / 4 ) dy ....
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This note was uploaded on 04/17/2008 for the course MA 124 taught by Professor N/a during the Spring '08 term at BU.
- Spring '08