elemquaddemo.mw

 

> restart; 1
 

>
 

> with(Student[Calculus1]); 1
 

[AntiderivativePlot, AntiderivativeTutor, ApproximateInt, ApproximateIntTutor, ArcLength, ArcLengthTutor, Asymptotes, Clear, CriticalPoints, CurveAnalysisTutor, DerivativePlot, DerivativeTutor, DiffTu...
[AntiderivativePlot, AntiderivativeTutor, ApproximateInt, ApproximateIntTutor, ArcLength, ArcLengthTutor, Asymptotes, Clear, CriticalPoints, CurveAnalysisTutor, DerivativePlot, DerivativeTutor, DiffTu...
[AntiderivativePlot, AntiderivativeTutor, ApproximateInt, ApproximateIntTutor, ArcLength, ArcLengthTutor, Asymptotes, Clear, CriticalPoints, CurveAnalysisTutor, DerivativePlot, DerivativeTutor, DiffTu...
[AntiderivativePlot, AntiderivativeTutor, ApproximateInt, ApproximateIntTutor, ArcLength, ArcLengthTutor, Asymptotes, Clear, CriticalPoints, CurveAnalysisTutor, DerivativePlot, DerivativeTutor, DiffTu...
[AntiderivativePlot, AntiderivativeTutor, ApproximateInt, ApproximateIntTutor, ArcLength, ArcLengthTutor, Asymptotes, Clear, CriticalPoints, CurveAnalysisTutor, DerivativePlot, DerivativeTutor, DiffTu...
[AntiderivativePlot, AntiderivativeTutor, ApproximateInt, ApproximateIntTutor, ArcLength, ArcLengthTutor, Asymptotes, Clear, CriticalPoints, CurveAnalysisTutor, DerivativePlot, DerivativeTutor, DiffTu...
(1)
 

Formula (elementară) a trapezului 

> ApproximateInt(x+sin(5^(1/2)*x)+1, 0 .. 2*Pi, 'partition' = 1, 'method' = trapezoid, 'partitiontype' = normal, 'output' = 'plot', 'boxoptions' = ['filled' = ['transparency' = .5]]);
 

Plot_2d
 

Formula repetată a trapezului (regula trapezelor) 

> ApproximateInt(x+sin(5^(1/2)*x)+1, 0 .. 2*Pi, 'partition' = 4, 'method' = trapezoid, 'partitiontype' = normal, 'output' = 'plot', 'boxoptions' = ['filled' = ['transparency' = .5]]);
 

Plot_2d
 

Formula lui Simpson 

> ApproximateInt(x+sin(5^(1/2)*x)+1, 0 .. 2*Pi, 'partition' = 2, 'method' = simpson, 'partitiontype' = normal, 'output' = 'plot', 'boxoptions' = ['filled' = ['transparency' = .5]]);
 

Plot_2d
 

Formula repetată a lui Simpson 

> ApproximateInt(x+sin(5^(1/2)*x)+1, 0 .. 2*Pi, 'partition' = 6, 'method' = simpson, 'partitiontype' = normal, 'output' = 'plot', 'boxoptions' = ['filled' = ['transparency' = .5]]);
 

Plot_2d
 

> ApproximateInt(x+sin(5^(1/2)*x)+1, 0 .. 2*Pi, 'partition' = 8, 'method' = simpson, 'partitiontype' = normal, 'output' = 'plot', 'boxoptions' = ['filled' = ['transparency' = .5]]);
 

Plot_2d
 

>