Let f and g be continuous functions on [a, b] and let g(x) s f(x) for all x in [a, b]. Write in words the area given by S[F(x) – g(x)] dx. Does the area interpretation of this integral change when f(x) 2 0 and g(x) < 0?

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.