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Find an expression for the area under the graph of f as a limit. f(x) = 5x cos(5x), 0 ≤ x ≤ π/2
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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)Δx + f(x2)Δx + . . . + f(xn)Δx]
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) = 5x cos(5x), 0 ≤ x ≤
π
2 .
A =
lim
n → ∞
Rn =
lim
n → ∞
[f(x1)Δx + f(x2)Δx + . . . + f(xn)Δx]
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) = 5x cos(5x), 0 ≤ x ≤
π
2 .
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