Status: New
Owner: ----
Labels: Type-Defect Priority-Medium
New issue 3586 by [email protected]: Exponentiation Integration
involving polynomial term with mult/added coefficients
http://code.google.com/p/sympy/issues/detail?id=3586
The following commands did not complete the integration process:
import sympy as sy
alpha1, alpha2 = sy.symbols('alpha1 alpha2', positive=True)
ExpV1a = sy.integrate(sy.exp(2*alpha1**2*x**2 + (4*alpha1*alpha2 -
2)*x + 2*alpha2**2), x)
ExpV1b = sy.integrate(sy.exp(2*alpha1**2*x**2 + 4*alpha1*alpha2*x +
2*alpha2**2)*sy.exp(-2*x), x)
ExpV1c = sy.integrate(sy.exp(2*alpha1**2*x**2 + 4*alpha1*alpha2*x +
2*alpha2**2)*sy.exp(-2*x), x)
ExpV1d = sy.integrate(sy.exp(2*(alpha1*x + alpha2)**2)*sy.exp(-2*x), x)
The following command variation performed the equivalent operation
correctly:
alpha3 = sy.symbols('alpha3', positive=True)
ExpV2a = sy.integrate(sy.exp(2*alpha1**2*x**2 + alpha3*x +
2*alpha2**2), x)
ExpV2a = ExpV2a.subs(alpha3, (4*alpha1*alpha2 - 2))
[email protected] commented on an earlier communication regarding this
issue that the "risch_integrate() won't have a hope of computing this until
the day that erf() extensions are added to the code ...".
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