# IntegralBetween 指令

##### 指令分类 （所有指令）

IntegralBetween[ <Function>, <Function>, <Start x-Value>, <End x-Value> ]

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

## CAS 视窗

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].

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].

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.

IntegralBetween[a * sin(t), a * cos(t), t, π / 4, π * 5 / 4] yields 2 \sqrt{2} a.
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