Integration - Maple Help

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Units[Natural]

 int
 definite and indefinite integration in the Natural Units environment

 Calling Sequence int(expr, x) int(expr, x=a..b)

Parameters

 expr - algebraic expression x - name or name multiplied by a unit a, b - algebraic expressions

Description

 • In the Natural Units environment, the int function integrates an expression with respect to a name that can have a unit.  The result is the integral of the expression, with respect to the variable of integration, with a unit, the integrand unit multiplied by the variable of integration unit if any.
 • Any endpoints must be unit-free and are assumed to have the units of the variable of integration.
 • For other properties, see the global function int.

Examples

 > $\mathrm{with}\left(\mathrm{Units}\left[\mathrm{Natural}\right]\right):$
 > $-3.532{x}^{2}W$
 ${-}{3.532}{}{{x}}^{{2}}{}⟦{W}⟧$ (1)
 > $\mathrm{int}\left(,xs\right)$
 ${-}{1.177333333}{}{{x}}^{{3}}{}⟦{J}⟧$ (2)
 > $32{x}^{2}\mathrm{ft}+7x\mathrm{inch}+45m$
 $\left(\frac{{6096}}{{625}}{}{{x}}^{{2}}{+}\frac{{889}}{{5000}}{}{x}{+}{45}\right){}⟦{m}⟧$ (3)
 > $\mathrm{int}\left(,xm\right)$
 $\left(\frac{{2032}}{{625}}{}{{x}}^{{3}}{+}\frac{{889}}{{10000}}{}{{x}}^{{2}}{+}{45}{}{x}\right){}⟦{{m}}^{{2}}⟧$ (4)
 > $4{x}^{4}-3x+2$
 ${4}{}{{x}}^{{4}}{-}{3}{}{x}{+}{2}$ (5)
 > $\mathrm{int}\left(,xs\right)$
 $\left(\frac{{4}}{{5}}{}{{x}}^{{5}}{-}\frac{{3}}{{2}}{}{{x}}^{{2}}{+}{2}{}{x}\right){}⟦{s}⟧$ (6)

 See Also