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Task/Numerical-integration/Julia/numerical-integration.julia
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Task/Numerical-integration/Julia/numerical-integration.julia
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function simpson(f::Function, a::Number, b::Number, n::Integer)
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h = (b - a) / n
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s = f(a + h / 2)
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for i in 1:(n-1)
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s += f(a + h * i + h / 2) + f(a + h * i) / 2
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end
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return h/6 * (f(a) + f(b) + 4*s)
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end
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rst =
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simpson(x -> x ^ 3, 0, 1, 100),
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simpson(x -> 1 / x, 1, 100, 1000),
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simpson(x -> x, 0, 5000, 5_000_000),
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simpson(x -> x, 0, 6000, 6_000_000)
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@show rst
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