One way to capture the domain of integration is with the set

Then we can write the double integral as the iterated integral

Compute the integral with respect to
.

Compute the remaining integral.

We could also swap the order of integration variables by writing

and

and this would have led to the same result.


By elimination:
y = 3x - 1
y = 2x + 2
Subtract the second equation from the first
0 = x - 1
y = 2x + 2
Subtract the first equation from the second
0 = x - 1
y = x + 3
Subtract the first equation from the second again
0 = x - 1
y = 4
Subtract x from both sides of the first equation
- x = - 1
y = 4
Divide the first equation by (-1)
x = 1
y = 4
<h3>
So, the solution is x = 1 and y = 4 {or: (1, 4)}</h3>
The area model you can use is D , cs 70 +3 & 30+9
Answer:
12 is the answer for your question