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

Question

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(x₁)Ax + f(x₂)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≤π/2
A = lim Σ i=1 to n
n→∞

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