Estimate f f(x)g'(x) dx if f(x) = x and g(x) has the values given in the...
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Estimate f f(x)g'(x) dx if f(x) = x³ and g(x) has the values given in the following table. (Note that one way to estimate the integral would be to assume that g(x) is a constant, or a linear function between the two endpoints; generate a more accurate estimate than that by using the provided table of data.) x 00.5 1 1.5 2 2.5 3 g(x) 1 2 2.6 3.4 3.6 4.2 4.8 f f(x) g'(x) dx = = Estimate f f(x)g'(x) dx if f(x) = x³ and g(x) has the values given in the following table. (Note that one way to estimate the integral would be to assume that g(x) is a constant, or a linear function between the two endpoints; generate a more accurate estimate than that by using the provided table of data.) x 00.5 1 1.5 2 2.5 3 g(x) 1 2 2.6 3.4 3.6 4.2 4.8 f f(x) g'(x) dx = =
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