coverband said:On my post titled double integrals you explained why limits go from x^2 to x when integrating wrt y (i.e. the "bottom" graph is the bottom limit) however i seem to have found a webpage that disagrees with you http://www.libraryofmath.com/double-integral-over-a-more-general-region.html example (d) has limits in opposite direction you stated.
A double integral is a type of mathematical calculation that involves finding the area under a curved surface in a two-dimensional space. It is an extension of the concept of a single integral, which calculates the area under a curve in a one-dimensional space.
In a double integral, the limits represent the boundaries of the region over which the calculation is being performed. They determine the range of values for the two variables used in the integral.
The limits for a double integral are typically determined by the shape and size of the region over which the calculation is being performed. They can also be determined by the equations that define the boundaries of the region.
Limits are important in double integrals because they define the boundaries of the region over which the calculation is being performed. They determine the range of values for the variables used in the integral, and without them, the calculation would not be possible.
The order of integration in a double integral determines the direction in which the integration is performed. This can affect the complexity of the calculation and the final result. It is important to choose the correct order of integration based on the given problem to ensure an accurate solution.