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quad_qags

quad_qags(x, x, 0, 1);

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quad_qags-sin

quad_qags (sin((%pi*x...

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quad_qags

quad_qags(x, x, 0, 1);

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quad_qags-sqrt

quad_qags (1/sqrt(1-x...

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quad_qags

f(x,y,z):=x*y*z;

quad_qags (quad_qags ...

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quad_qags

quad_qags(x,x,2,3);

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quad_qags

quad_qags(x, x, 0, 1);

Calculate

quad_qags-sin

quad_qags (sin((%pi*x...

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quad_qags

quad_qags((ln(x^2+2))...

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quad_qags

f(x,y,z):=x*y*z;

quad_qags (quad_qags ...

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quad_qags

Run Example
(%i1)mu:0.03;
(%o1)                                0.03
(%i2) t:1;
(%o2)                                  1
(%i3) x:100;
(%o3)                                 100
(%i4) r: 0.001;
(%o4)                                0.001
(%i5) define(F(s),(mu-x*s)/(s^2)*exp(s*t));
                                                   s
                                  (0.03 - 100 s) %e
(%o5)                     F(s) := ------------------
                                           2
                                          s
(%i6) plot2d(imagpart(F(r+%i*s)),[s,-100,100]);
plotplot2d(imagpart(F(r+%i*s)),[s,-100,100]);plot2d(realpart(F(r+%i*s)),[s,-100,100]);
plotplot2d(realpart(F(r+%i*s)),[s,-100,100]);ans: x+mu*t;
(%o8)                               100.03
(%i9) quad_qags(imagpart(F(r+%i*s)/(2*%pi*%i)),s,-1000,1000, limit=1000);
(%o9)        [99.95205473146073, 4.9669290008830225E-7, 10227, 0]
(%i10) 
Run Example
ratprint:false;
(%o1)                                false
(%i2) kill(epsrel);
(%o2)                                done
(%i3) quad_qags(sin(x), x, %pi, 2*%pi, epsabs=1b-2, limit=50);
(%o3)               [- 2.0, 2.2204460492503137E-14, 21, 0]
(%i4) quad_qag(sin(x), x, 0, %pi, epsabs=1b-10);
(%o4)                [2.0, 2.2204460492503134E-14, 61, 0]
(%i5) quad_qag(sin(x), x, %pi, 2*%pi, epsabs=1b-10);
(%o5)               [- 2.0, 2.2204460492503134E-14, 61, 0]
(%i6) quad_qag(sin(x), x, 0, 2*%pi, epsabs=1b-100, limit=300);
 ***MESSAGE FROM ROUTINE DQAG IN LIBRARY SLATEC.
 ***INFORMATIVE MESSAGE, PROG CONTINUES, TRACEBACK REQUESTED
 *  ABNORMAL RETURN
 *  ERROR NUMBER = 2
 *   
 ***END OF MESSAGE
 
(%o6)       [6.0167803179188619E-17, 4.4360464554227764E-14, 61, 2]
(%i7) quad_qag(abs(sin(x)), x, 0, 2*%pi, epsabs=1b-1);
(%o7)                [4.0, 4.4408920985006262E-14, 183, 0]
(%i8) load(abs_integrate);
(%o8) /usr/share/maxima/5.21.1/share/contrib/integration/abs_integrate.mac
(%i9) integrate(sin(x), x, 0, 2*%pi);
(%o9)                                  0
(%i10) 
Run Example
quad_qags(abs(log(x^3-3*x+3)),x,0,2);
(%o1)         [1.176401900361702, 3.6875131447693457E-13, 63, 0]
(%i2) 
[abs,define,exp,imagpart,plot2d,quad_qags,realpart] [abs,quad_qags] [acos,quad_qags,sin,sqrt] [acos,quad_qags,sin] [assume,cos,exp,facts,forget,integrate,linsolve,log,notequal,quad_qags] [at,block,cos,diff,find_root,linsolve,pi,plot2d,quad_qags,sin,subst] [at,block,cos,diff,linsolve,pi,plot2d,quad_qags,sin,subst] [at,block,diff,linsolve,plot2d,quad_qags,sin,subst] [at,cos,diff,ev,expand,linsolve,numer,pi,quad_qags,sin,subst] [at,cos,diff,find_root,linsolve,quad_qags,sin,subst] [at,cos,diff,find_root,linsolve,quad_qags,subst] [at,cos,diff,linsolve,pi,plot2d,quad_qags,sin,subst] [at,cos,diff,linsolve,pi,quad_qags,sin,subst] [at,cos,diff,linsolve,plot2d,quad_qags,subst] [at,cos,diff,linsolve,quad_qags,subst] [at,diff,find_root,linsolve,pi,quad_qags,sin,subst] [at,diff,linsolve,pi,quad_qags,sin,subst] [at,diff,linsolve,quad_qags,subst] [block,cos,find_root,quad_qags,sin] [block,cos,plot2d,quad_qags,sin] [block,cos,quad_qags,sin] [build_info,quad_qags] [coeff,cos,diff,exp,expand,float,imagpart,quad_qags,realpart,sin,subst,taylor] [cos,draw,draw2d,integrate,load,pi,quad_qags] [cos,integrate,pi,quad_qags] [cos,log,pi,quad_qags] [cos,quad_qags] [define,exp,ilt,imagpart,plot2d,quad_qags,realpart] [define,exp,imagpart,pi,plot2d,quad_qags,realpart] [define,exp,imagpart,plot2d,quad_qagi,quad_qags,realpart] [define,exp,imagpart,plot2d,quad_qags,realpart] [diff,erf,exp,float,log,pi,quad_qags,sqrt] [diff,float,plot2d,quad_qags,realroots] [draw,draw2d,explicit,integrate,load,log,quad_qags,solve] [exp,find_root,log,pi,plot2d,quad_qags,sqrt] [exp,float,log,pi,quad_qags,sqrt] [exp,inf,quad_qags] [exp,pi,quad_qags,sqrt] [false,integrate,kill,load,quad_qags,ratprint,sin] [false,kill,quad_qagi,quad_qags,ratprint,sin] [false,kill,quad_qags,quad_qawf,ratprint,sin] [false,kill,quad_qags,ratprint,sin] [false,quad_qags,ratprint,sin] [inf,quad_qags,sin,sqrt] [integrate,quad_qags,sqrt] [integrate,quad_qags] [lambda,plot2d,quad_qags,rhs,solve] [log,quad_qags] [quad_qags,sin] [quad_qags]

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