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Calc 2 Integration Area Problem
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[QUOTE="Ray Vickson, post: 5998915, member: 330118"] So, the problem statement is asking you to find the area the hard way; integrating with respect to ##x## would be a lot easier. Anyway, to see the ##x##-limits in the ##y##-integrals, you should start by drawing a picture of your region. The first (vertically lower) region goes from a [B]negative[/B] value of ##y## to a positive value, and for each such ##y##, from a smaller (sometimes negative, sometimes positive) value of ##x## to a larger value of ##x##---giving a positive ##x##-length. You have your first integral going from a large value of ##x## to a smaller one---giving a negative ##x##-length. You seem to be assuming that ##x## must be positive, but that is not stated anywhere in the problem as you wrote it. [/QUOTE]
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Calc 2 Integration Area Problem
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