@menu
* Introduction to Integration::  
* Definitions for Integration::  
* Introduction to QUADPACK::
* Definitions for QUADPACK::
@end menu

@node Introduction to Integration, Definitions for Integration, Integration, Integration
@section Introduction to Integration

@node Definitions for Integration, Introduction to QUADPACK, Introduction to Integration, Integration
@section Definitions for Integration

@deffn {Function} changevar (@var{expr}, @var{f(x,y)}, @var{y}, @var{x})
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@end deffn

@deffn {Function} dblint (@var{f}, @var{r}, @var{s}, @var{a}, @var{b})
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@end deffn

@deffn {Function} defint (@var{expr}, @var{x}, @var{a}, @var{b})
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@end deffn

@deffn {Function} erf (@var{x})
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@end deffn

@defvr {Option variable} erfflag
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@end defvr

@deffn {Function} ilt (@var{expr}, @var{t}, @var{s})
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@end deffn

@deffn {Function} integrate (@var{expr}, @var{x})
@deffnx {Function} integrate (@var{expr}, @var{x}, @var{a}, @var{b})
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@end deffn

@defvr {System variable} integration_constant_counter
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@end defvr

@defvr {Option variable} integrate_use_rootsof
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@end defvr

@deffn {Function} ldefint (@var{expr}, @var{x}, @var{a}, @var{b})
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@end deffn

@deffn {Function} potential (@var{givengradient})
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@end deffn

@deffn {Function} residue (@var{expr}, @var{z}, @var{z_0})
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@end deffn

@deffn {Function} risch (@var{expr}, @var{x})
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@end deffn

@deffn {Function} romberg (@var{expr}, @var{x}, @var{a}, @var{b})
@deffnx {Function} romberg (@var{expr}, @var{a}, @var{b})
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@end deffn

@defvr {Option variable} rombergabs
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@end defvr

@defvr {Option variable} rombergit
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@end defvr

@defvr {Option variable} rombergmin
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@end defvr

@defvr {Option variable} rombergtol
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@end defvr

@deffn {Function} tldefint (@var{expr}, @var{x}, @var{a}, @var{b})
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@end deffn

@node Introduction to QUADPACK, Definitions for QUADPACK, Definitions for Integration, Integration
@section Introduction to QUADPACK

@node Definitions for QUADPACK, , Introduction to QUADPACK, Integration
@section Definitions for QUADPACK

@deffn {Function} quad_qag (@var{f(x)}, @var{x}, @var{a}, @var{b}, @var{key}, @var{epsrel}, @var{limit})
@deffnx {Function} quad_qag (@var{f}, @var{x}, @var{a}, @var{b}, @var{key}, @var{epsrel}, @var{limit})
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@end deffn

@deffn {Function} quad_qags (@var{f(x)}, @var{x}, @var{a}, @var{b}, @var{epsrel}, @var{limit})
@deffnx {Function} quad_qags (@var{f}, @var{x}, @var{a}, @var{b}, @var{epsrel}, @var{limit})
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@end deffn

@deffn {Function} quad_qagi (@var{f(x)}, @var{x}, @var{a}, @var{inftype}, @var{epsrel}, @var{limit})
@deffnx {Function} quad_qagi (@var{f}, @var{x}, @var{a}, @var{inftype}, @var{epsrel}, @var{limit})
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@end deffn

@deffn {Function} quad_qawc (@var{f(x)}, @var{x}, @var{c}, @var{a}, @var{b}, @var{epsrel}, @var{limit})
@deffnx {Function} quad_qawc (@var{f}, @var{x}, @var{c}, @var{a}, @var{b}, @var{epsrel}, @var{limit})
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@end deffn

@deffn {Function} quad_qawf (@var{f(x)}, @var{x}, @var{a}, @var{omega}, @var{trig}, @var{epsabs}, @var{limit}, @var{maxp1}, @var{limlst})
@deffnx {Function} quad_qawf (@var{f}, @var{x}, @var{a}, @var{omega}, @var{trig}, @var{epsabs}, @var{limit}, @var{maxp1}, @var{limlst})
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@end deffn

@deffn {Function} quad_qawo (@var{f(x)}, @var{x}, @var{a}, @var{b}, @var{omega}, @var{trig}, @var{epsabs}, @var{limit}, @var{maxp1}, @var{limlst})
@deffnx {Function} quad_qawo (@var{f}, @var{x}, @var{a}, @var{b}, @var{omega}, @var{trig}, @var{epsabs}, @var{limit}, @var{maxp1}, @var{limlst})
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@end deffn

@deffn {Function} quad_qaws (@var{f(x)}, @var{x}, @var{a}, @var{b}, @var{alpha}, @var{beta}, @var{wfun}, @var{epsabs}, @var{limit})
@deffnx {Function} quad_qaws (@var{f}, @var{x}, @var{a}, @var{b}, @var{alpha}, @var{beta}, @var{wfun}, @var{epsabs}, @var{limit})
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@end deffn

