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# Order of Integration and Area Between Curves

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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.
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:

Area for second integral:

b)
The integral changes to:

Question 2:

Find the area of the region bounded by the following curves:

Sketch the area (and shade it).

Solution:

Area: