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dalarev
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Homework Statement
Given y=x^2 , bounded by the line x=1 and y=1, first quadrant. Fairly simple problem.
Homework Equations
Solving for integration by y first...say, [tex]\int[/tex][[tex]\int[/tex]dy]dx
The Attempt at a Solution
I have solved this problem, integrating by x first and y first. I'm having trouble with a more difficult, yet similar, problem but I feel I should get this fundamental doubt out of the way first.
Integrating by y first, we get the limits of integration from y=x^2 to y=1 . This is rather clear, looking at the graph. The x integration, however, is where I get confused. I would've thought that the limits of x would be from x=0 to x=[tex]\sqrt{y}[/tex] because in reality, if you follow the graph, much like we did for the y limits, those are the boundaries x is confined to. The correct x limits, however, are from x=0 to x=1. Any help would be appreciated. Thanks.
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