The area A of the region S that lies under the graph of the continuous...
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Calculus
The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles.A = lim n?? Rn=lim n?? [f(x?)Ax + f(x?)Ax+ ... + f(x)Ax]Use this definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.f(x) = 3x cos(3x), 0?x??/2A = lim ? i=1 to nn??
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