Order of Integration and Area Between Curves
Please see the attached file for the full problem description
1. Consider the double integral (please see the attached file)
(a) Sketch the region of integration
(b) Write down the integral with reversed order of integration.
2. Find the area of the region bounded by the following curves (please see the attached file)
Sketch the region (and shade it).
3. Find the total electric change Q of the charged plate bounded by the curves.
(please see the attached file)
If the charge density is described by a formula (please see the attached file),
Sketch the plate (and shade it).
https://brainmass.com/math/basic-calculus/order-integration-area-curves-590357
SOLUTION This solution is FREE courtesy of BrainMass!
Please see the attached file for the complete solution.
Solution:
a)
Area for first integral:
(please see the attached file)
Area for second integral:
(please see the attached file)
b)
The integral changes to:
(please see the attached file)
Question 2:
Find the area of the region bounded by the following curves:
(please see the attached file)
Sketch the area (and shade it).
Solution:
(please see the attached file)
Area:
(please see the attached file)
Answer: 11.4248
I hope it will help you.
Thanks
https://brainmass.com/math/basic-calculus/order-integration-area-curves-590357