「IntegralBetween 指令」修訂間的差異
出自GeoGebra Manual
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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}} | ||
+ | ;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'']. | ||
+ | :{{note| 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'']. | ||
+ | :{{example| 1=<div><code><nowiki>IntegralBetween[sin(x), cos(x), π / 4, π * 5 / 4]</nowiki></code> yields <math>2 \sqrt{2}</math>.</div>}} | ||
+ | ;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. | ||
+ | :{{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>}} |
於 2011年10月3日 (一) 08:18 的最新修訂
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- IntegralBetween[ <Function>, <Function>, <Start x-Value>, <End x-Value> ]
- IntegralBetween[ <Function>, <Function>, <Start x-Value>, <End x-Value>, < Boolean Evaluate> ]
CAS 視窗
- IntegralBetween[ <Function>, <Function>, <Start x-Value>, <End x-Value> ]
- IntegralBetween[ <Function>, <Function>, <Start x-Value>, <End x-Value>, < Boolean Evaluate> ]
- 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.