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# sympy.integrals.risch.integrate_hyperexponential_polynomial

All Samples(5)  |  Call(3)  |  Derive(0)  |  Import(2)

```"""Most of these tests come from the examples in Bronstein's book."""
from sympy import (Poly, I, S, Function, log, symbols, exp, tan, sqrt,
Symbol, Lambda, sin, cos, Eq, Piecewise, factor)
from sympy.integrals.risch import (gcdex_diophantine, frac_in, as_poly_1t,
derivation, splitfactor, splitfactor_sqf, canonical_representation,
```
```        x**2*t0**4 + x**6), t1, z, expand=False)
DE = DifferentialExtension(extension={'D': [Poly(1, x), Poly(1/x, t0), Poly(2*x*t1, t1)]})
assert integrate_hyperexponential_polynomial(p, DE, z) == (
Poly((x - t0)*t1**2 + (-2*t0 + 2*x)*t1, t1), Poly(-2*x*t0 + x**2 +
t0**2, t1), True)

DE = DifferentialExtension(extension={'D':[Poly(1, x), Poly(t0, t0)]})
assert integrate_hyperexponential_polynomial(Poly(0, t0), DE, z) == (
```

```"""Most of these tests come from the examples in Bronstein's book."""
from sympy import (Poly, I, S, Function, log, symbols, exp, tan, sqrt,
Symbol, Lambda, sin, cos, Eq, Piecewise, factor)
from sympy.integrals.risch import (gcdex_diophantine, frac_in, as_poly_1t,
derivation, splitfactor, splitfactor_sqf, canonical_representation,
```
```        x**2*t0**4 + x**6), t1, z, expand=False)
DE = DifferentialExtension(extension={'D': [Poly(1, x), Poly(1/x, t0), Poly(2*x*t1, t1)]})
assert integrate_hyperexponential_polynomial(p, DE, z) == (
Poly((x - t0)*t1**2 + (-2*t0 + 2*x)*t1, t1), Poly(-2*x*t0 + x**2 +
t0**2, t1), True)
```