- #1
mduffy
- 3
- 0
how do I evaluate the double integral 2x + y dA over the region R bounded by y = 3x, 2X + y = 5, x = 0, and y = 0
Last edited:
mduffy said:how do I evaluate the double integral 2x + y dA over the region R bounded by y = 3x, 2X = y = 5, x = 0, and y = 0
Thanks...should be 2x + y = 5skeeter said:Check this entry ...
over the region R bounded by y = 3x, 2X + y = 5, x = 0, and y = 0
skeeter said:Region R is bounded by either x = 0 or y = 0 ... how is it bounded by both axes and the two given lines?
A double integral is a type of mathematical integral that involves integrating a function over a two-dimensional region. It is represented by two sets of limits, one for each variable in the function.
Double integrals are commonly used in physics, engineering, and other fields to calculate volume, surface area, and other quantities. They also have applications in statistics and probability.
To solve a double integral, you first need to identify the limits of integration for each variable. Then, you can use integration techniques such as Fubini's theorem or change of variables to solve the integral.
Some common mistakes when solving a double integral include forgetting to change the limits of integration when using a change of variables, not considering the order of integration, and making calculation errors.
Yes, there are many online resources and tools available to help with solving double integrals. Some popular options include Wolfram Alpha, Symbolab, and Desmos. It is also helpful to consult textbooks or ask a math tutor for assistance.