SOLUTION: Find the area under the split-domain function from x = -2 to x = 3. f(x)= {7-x^2, (x<0) ......{7 , (x>= 0) have the graph but having trouble setting up can someone help

Question 203769: Find the area under the split-domain function from x = -2 to x = 3.
f(x)= {7-x^2, (x<0)
......{7 , (x>= 0)
have the graph but having trouble setting up can someone help please
thanks
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
If you have the graphs, then you know that to the right of the y-axisthe graph is simply a horizontal line. The area between it and the x-axis is just a rectangle whose area is 3*7 = 21.
The graph to the left of the y-axis is the left half of parabola which opens downward. At the moment, the only way I can think of to find the area between it and the x-axis is to use Calculus. If you don't know Calculus, then I hope someone else solves this problem for you.

The following integral will find the area in question:
evaluated from -2 to 0:

So the total area between the graph of f(x) from x = -2 to x = 3 is the sum of these areas:
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