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gtfitzpatrick
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- Homework Statement
- What are the upper and lower bounds?
- Relevant Equations
- see picture
Cant get my head around the order of the upper and lower bounds for this, Is it always the higher take away the lower?
The upper limit is always the larger value (i.e., more positive or less negative. For the limits on the y integration, ##-e^x < -1##, so -1 is the less negative value, and you are correct to put it at the upper limit of integration.gtfitzpatrick said:View attachment 241600
Cant get my head around the order of the upper and lower bounds for this, Is it always the higher take away the lower?
A double integral is a mathematical concept used to calculate the area under a two-dimensional curve or surface. It is essentially the integration of a function of two variables over a specific region in the xy-plane.
The upper and lower bounds in a double integral refer to the limits of integration for each variable. The lower bound is the starting point of integration and the upper bound is the ending point. These bounds help define the region over which the integration is being performed.
The upper and lower bounds in a double integral are determined by the boundaries of the region over which the integration is being performed. This can be done by looking at the given function or by graphing the function and visually identifying the boundaries of the region.
Yes, the upper and lower bounds in a double integral can be negative. This is because the bounds are determined by the boundaries of the region, which can extend into the negative values of the variables.
The upper and lower bounds can greatly affect the value of a double integral. Changing the bounds can result in a different region being integrated over, which can lead to a different value for the integral. It is important to carefully determine the correct bounds in order to obtain an accurate result.