“IntegralBetween 指令”的版本间的差异

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;IntegralBetween[ <Function>, <Function>, <Start x-Value>, <End x-Value>, < Boolean Evaluate> ]
 
;IntegralBetween[ <Function>, <Function>, <Start x-Value>, <End x-Value>, < Boolean Evaluate> ]
 
:{{translate|IntegralBetween Command}}
 
:{{translate|IntegralBetween Command}}
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;IntegralBetween[Function f, Function g, Number a, Number b]
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:Returns the definite integral of the difference ''f(x) ‐ g(x)'' in the interval [''a, b''].
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:{{note| This command also shades the area between the function graphs of ''f'' and ''g''.}}
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;IntegralBetween[Function f, Function g, Number a, Number b, Boolean Evaluate]
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:Returns the definite integral of the difference ''f(x) ‐ g(x)'' in the interval [''a, b''] and shadows the related area when ''Evaluate = true''.  In case ''Evaluate = false'' the related area is shaded but the integral value is not calculated.
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==CAS Syntax==
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;IntegralBetween[ Function f, Function g, Number a, Number b]
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:Returns the definite integral of the difference ''f(x) ‐ g(x)'' in the interval [''a, b''].
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:{{example| 1=<div><code><nowiki>IntegralBetween[sin(x), cos(x), π / 4, π * 5 / 4]</nowiki></code>  yields <math>2 \sqrt{2}</math>.</div>}}
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;IntegralBetween[ Function f, Function g, Variable t, Number a, Number b ]
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:Returns the definite integral of the difference ''f ‐ g'' in the interval [''a, b''] with respect to the variable t.
 +
:{{example| 1=<div><code><nowiki>IntegralBetween[a * sin(t), a * cos(t), t, π / 4, π * 5 / 4]</nowiki></code>  yields <math>2 \sqrt{2} a</math>.</div>}}

2011年10月3日 (一) 09:18的最新版本

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IntegralBetween[ <Function>, <Function>, <Start x-Value>, <End x-Value> ]
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IntegralBetween[ <Function>, <Function>, <Start x-Value>, <End x-Value>, < Boolean Evaluate> ]
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CAS 視窗

IntegralBetween[ <Function>, <Function>, <Start x-Value>, <End x-Value> ]
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IntegralBetween[ <Function>, <Function>, <Start x-Value>, <End x-Value>, < Boolean Evaluate> ]
UnderConstruction.png
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IntegralBetween[Function f, Function g, Number a, Number b]
Returns the definite integral of the difference f(x) ‐ g(x) in the interval [a, b].
備註: This command also shades the area between the function graphs of f and g.
IntegralBetween[Function f, Function g, Number a, Number b, Boolean Evaluate]
Returns the definite integral of the difference f(x) ‐ g(x) in the interval [a, b] and shadows the related area when Evaluate = true. In case Evaluate = false the related area is shaded but the integral value is not calculated.

CAS Syntax

IntegralBetween[ Function f, Function g, Number a, Number b]
Returns the definite integral of the difference f(x) ‐ g(x) in the interval [a, b].
範例:
IntegralBetween[sin(x), cos(x), π / 4, π * 5 / 4] yields 2 \sqrt{2}.
IntegralBetween[ Function f, Function g, Variable t, Number a, Number b ]
Returns the definite integral of the difference f ‐ g in the interval [a, b] with respect to the variable t.
範例:
IntegralBetween[a * sin(t), a * cos(t), t, π / 4, π * 5 / 4] yields 2 \sqrt{2} a.
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