# IntegralBetween Command

From GeoGebra Manual

Revision as of 11:10, 17 September 2012 by Alexander Hartl (talk | contribs)

- 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*is*true*. In case*Evaluate*is*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.