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[求助]
在python中用sympy求定积分失败
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用python sympy 求定积分，代码如下： E=210000 from sympy import * x=symbols('x') T_2=(125-x)/50*(21-18)+18 Radius_2=T_2/40*10.5*0.5 I_2=((89-Radius_2*2)*T_2**3/12)+((T_2-Radius_2*2)**3*Radius_2/12)+(3.1415926536*(Radius_2*2)**4/64) δ_2=float(integrate((x**2)/(E*I_2),(x,75,125))) 运行后电脑显示如下： Traceback (most recent call last): File "G:\caculation.py", line 84, in <module> δ_2=float(integrate((x**2)/(E*I_2),(x,X_2,X_3))) File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\integrals\integrals.py", line 1545, in integrate return integral.doit(**doit_flags) File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\integrals\integrals.py", line 482, in doit did = self.xreplace(reps).doit(**hints) File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\integrals\integrals.py", line 593, in doit antideriv = self._eval_integral( File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\integrals\integrals.py", line 929, in _eval_integral result, i = risch_integrate(f, x, separate_integral=True, File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\integrals\risch.py", line 1757, in risch_integrate ans = integrate(fa.as_expr()/fd.as_expr(), DE.x, risch=False) File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\integrals\integrals.py", line 1545, in integrate return integral.doit(**doit_flags) File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\integrals\integrals.py", line 593, in doit antideriv = self._eval_integral( File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\integrals\integrals.py", line 1015, in _eval_integral parts.append(coeff * ratint(g, x)) File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\integrals\rationaltools.py", line 51, in ratint g, h = ratint_ratpart(p, q, x) File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\integrals\rationaltools.py", line 146, in ratint_ratpart u, v, _ = g.cofactors(g.diff()) File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\polys\polytools.py", line 2846, in cofactors h, cff, cfg = F.cofactors(G) File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\polys\polyclasses.py", line 677, in cofactors h, cff, cfg = dmp_inner_gcd(F, G, lev, dom) File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\polys\euclidtools.py", line 1582, in dmp_inner_gcd return dup_inner_gcd(f, g, K) File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\polys\euclidtools.py", line 1514, in dup_inner_gcd return dup_ff_prs_gcd(f, g, K) File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\polys\euclidtools.py", line 1032, in dup_ff_prs_gcd cff = dup_quo(f, h, K) File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\polys\densearith.py", line 1579, in dup_quo return dup_div(f, g, K)[0] File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\polys\densearith.py", line 1535, in dup_div return dup_ff_div(f, g, K) File "C:\Users\Administrator\AppData\Local\Programs\Python\Python39\lib\site-packages\sympy\polys\densearith.py", line 1458, in dup_ff_div raise PolynomialDivisionFailed(f, g, K) sympy.polys.polyerrors.PolynomialDivisionFailed: couldn't reduce degree in a polynomial division algorithm when dividing [EX(2.23619108242795e-7*E), EX(0.00122184751598725*E), EX(-1.80020279144187*E), EX(799.418707575197*E), EX(-115682.870492365*E)] by [EX(1.00000000000000)]. This can happen when it's not possible to detect zero in the coefficient domain. The domain of computation is EX. You may want to use a different simplification algorithm. Note that in general it's not possible to guarantee to detect zero in this domain. 这是什么原因？ |
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