Final answer:
To find the area between the graphs of f(x) and g(x) over an interval [a, b], calculate the definite integral of (f(x) - g(x)) with respect to x from a to b.
Step-by-step explanation:
To find the exact value of the area between the graphs of f(x) and g(x) for x in the interval [a, b], you need to calculate the definite integral of the difference between the two functions over the given interval. The area can be found using the formula:
Area = ∫ab (f(x) - g(x)) dx
Once you have obtained the antiderivative, you can evaluate the definite integral using the limits a and b. This will give you the exact value of the area between the graphs.