# IntegralBetween Command ##### Command Categories (All commands)

IntegralBetween[ >Function f>, <Function g>, <Number a>, <Number b> ]
Gives the definite integral of the difference f(x) ‐ g(x) over the interval [a, b] with respect to the main variable.
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> ]
Gives the definite integral of the difference f(x) ‐ g(x) over the interval [a, b] with respect to the main variable and shadows the related area if 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> ]
Gives the definite integral of the difference f(x) ‐ g(x) over the interval [a, b] with respect to the main variable.
Example:
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> ]
Gives the definite integral of the difference f(x) ‐ g(x) over the interval [a, b] with respect to the given variable.
Example:
IntegralBetween[a * sin(t), a * cos(t), t, π / 4, π * 5 / 4] yields 2 \sqrt{2} a.
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