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Find the exact value of the area between the graphs of f(x) and g(x) for x in the interval [a, b].

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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.

User John Tiggernaught
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