Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1 = x2 + 2x + 3 y2 = 2x + 12F
igure:A parabola was given in the figure
1 answer:
Answer:

Step-by-step explanation:
The equations are:


The two graphs intersect when:



To find the area under the curve for the first equation:

To find the area under the curve for the second equation:

To find the total area:

Simplifying the equation:

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).
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