Interface  Description 

SubstitutionRule 
A substitution rule specifies \(x(t)\) and \(\frac{\mathrm{d} x}{\mathrm{d} t}\).

Class  Description 

DoubleExponential 
This transformation speeds up the convergence of the Trapezoidal Rule exponentially.

DoubleExponential4HalfRealLine 
This transformation is good for the region \((0, +\infty)\).

DoubleExponential4RealLine 
This transformation is good for the region \((\infty, +\infty)\).

Exponential 
This transformation is good for when the lower limit is finite, the upper limit is infinite, and the integrand falls off exponentially.

InvertingVariable 
This is the invertingvariable transformation.

MixedRule 
The mixed rule is good for functions that fall off rapidly at infinity, e.g., \(e^{x^2}\) or \(e^x\)
The integral region is \((0, +\infty)\).

NoChangeOfVariable 
This is a dummy substitution rule that does not change any variable.

PowerLawSingularity 
This transformation is good for an integral which diverges at one of the end points.

StandardInterval 
This transformation is for mapping integral region from [a, b] to [1, 1].

Enum  Description 

PowerLawSingularity.PowerLawSingularityType 
the type of end point divergence

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