A lamina is in the shape of the region bounded by the lines x = 1 and y = 2, and the parabola y = −2x 2 + 2. Find the mass of the lamina if its density at any point is given by δ(x, y) = xy.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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A lamina is in the shape of the region bounded by the lines x = 1
and y = 2, and the parabola y = −2x
2 + 2. Find the mass of the lamina if its
density at any point is given by δ(x, y) = xy. 

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