The discussion focuses on finding the limits of a double integral for the function z = f(x,y) over the region bounded by the x-axis and the semi-circle defined by the equation x² + y² = 4, where y ≥ 0. Participants clarify that the task involves determining the numerical limits for the outer integral and the functional limits for the inner integral. It is emphasized that the integration should be performed first with respect to y and then x, requiring a graphical representation to identify the appropriate limits.
PREREQUISITESStudents in calculus, particularly those learning about double integrals, educators teaching integration techniques, and anyone needing to visualize and solve integrals over specific geometric regions.
It seems simple enought to me. x2+ y2= 4 gives a circle with center at (0, 0) and radius 4. You are asked to integrate over the top half of that: y> 0.NotStine said:Homework Statement
Find the limits of the integral of z = f(x,y) over the region bounded by the x-axis, and the semi-circle x2 + y2 = 4, y ≥ 0
Homework Equations
The Attempt at a Solution
Where do I start on this question? I can't understand what it is asking.
Since the problem specifically said "find the limitsof integration", yes, that is what you are supposed to do! I recommend that you start by drawing the graph.IbaIdc
Am I supposed to find a,b,c,d limits of the double integrals? If so, can you please point me in the right direction. I am completely lost.