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student

 Doubleint
 inert form of double integration

 Calling Sequence Doubleint(g, x, y) Doubleint(g, x, y, Domain) Doubleint(g, x = a..b, y = c..d)

Parameters

 g - expression to be integrated x, y - variables of integration a, b, c, d - (optional) lower and upper bounds defining the range of integration Domain - (optional) name identifying the region of integration

Description

 • Important: The student package has been deprecated. Use the superseding command Student[MultivariateCalculus][MultiInt] instead.
 • This function corresponds to a double integral'' of g with respect to x and y. It uses an unevaluated'' form of Maple's int function, so only minor simplifications are performed.
 • For definite integration, a range of integration (x = $a..b$) must be indicated for both variables.
 • Alternatively you may use a name to indicate a region of integration. This is strictly notational and cannot be evaluated.
 • Use value to force Doubleint to evaluate like int.
 • The command with(student,Doubleint) allows the use of the abbreviated form of this command.

Examples

Important: The student package has been deprecated. Use the superseding command Student[MultivariateCalculus][MultiInt] instead.

 > $\mathrm{with}\left(\mathrm{student}\right):$
 > $\mathrm{Doubleint}\left(g\left(x\right),x,y\right)$
 ${\int }\left({\int }{g}{}\left({x}\right)\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}{ⅆ}{x}\right)\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}{ⅆ}{y}$ (1)
 > $\mathrm{Doubleint}\left(hg,x=1..n,y=2..4\right)$
 ${{\int }}_{{2}}^{{4}}\left({{\int }}_{{1}}^{{n}}{h}{}{g}\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}{ⅆ}{x}\right)\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}{ⅆ}{y}$ (2)
 > $\mathrm{Doubleint}\left(hg,x,y,C\right)$
 ${{\int }}_{{}}^{{}}\left({{\int }}_{{C}}^{{}}{h}{}{g}\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}{ⅆ}{x}\right)\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}{ⅆ}{y}$ (3)