DoubleExponential |
This transformation speeds up the convergence of the Trapezoidal Rule exponentially.
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DoubleExponential4HalfRealLine |
This transformation is good for the region \((0, +\infty)\).
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DoubleExponential4RealLine |
This transformation is good for the region \((-\infty, +\infty)\).
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Exponential |
This transformation is good for when the lower limit is finite, the upper limit is infinite, and the integrand falls off exponentially.
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InvertingVariable |
This is the inverting-variable transformation.
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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 \((0, +\infty)\).
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NoChangeOfVariable |
This is a dummy substitution rule that does not change any variable.
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PowerLawSingularity |
This transformation is good for an integral which diverges at one of the end points.
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StandardInterval |
This transformation is for mapping integral region from [a, b] to [-1, 1].
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