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mathdum
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Find the area of the region under the graph of the function f on the interval [5, 10].
F(x) = 9/x
F(x) = 9/x
mathdum said:Well, my problem just says F(x). Other problems have F'(x), However, this one does not. Hmm...
Try to be precise in the relationship between F(x) and f(x).mathdum said:Find the area of the region under the graph of the function f on the interval [5, 10].
F(x) = 9/x
An anti derivative of a fraction is a function that, when differentiated, results in the given fraction.
2.To find the anti derivative of a fraction, you must use the power rule, chain rule, and/or product rule in reverse. You can also use known anti derivative formulas for common fractions.
3.While both refer to the reverse process of differentiation, an anti derivative is a specific function that, when differentiated, results in the given fraction. An indefinite integral, on the other hand, represents a family of functions that differ by a constant.
4.Yes, there are specific rules and formulas for finding the anti derivative of common fractions such as polynomials, trigonometric functions, and exponential functions. These rules include the power rule, chain rule, and product rule.
5.Knowing how to find the anti derivative of a fraction is important in many areas of mathematics and science, particularly in calculus. It allows us to solve problems involving rates of change, optimization, and area under a curve. It also helps us understand the relationship between a function and its derivative.