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Task/Numerical-integration/PicoLisp/numerical-integration.l
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Task/Numerical-integration/PicoLisp/numerical-integration.l
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(scl 6)
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(de leftRect (Fun X)
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(Fun X) )
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(de rightRect (Fun X H)
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(Fun (+ X H)) )
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(de midRect (Fun X H)
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(Fun (+ X (/ H 2))) )
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(de trapezium (Fun X H)
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(/ (+ (Fun X) (Fun (+ X H))) 2) )
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(de simpson (Fun X H)
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(*/
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(+
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(Fun X)
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(* 4 (Fun (+ X (/ H 2))))
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(Fun (+ X H)) )
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6 ) )
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(de square (X)
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(*/ X X 1.0) )
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(de integrate (Fun From To Steps Meth)
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(let (H (/ (- To From) Steps) Sum 0)
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(for (X From (>= (- To H) X) (+ X H))
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(inc 'Sum (Meth Fun X H)) )
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(*/ H Sum 1.0) ) )
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(prinl (round (integrate square 3.0 7.0 30 simpson)))
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