SymPy學習之Symbolic Integrals

Examples

>>> from sympy import *
>>> init_printing(use_unicode=False, wrap_line=False, no_global=True)
>>> x = Symbol('x')
>>> integrate(x**2 + x + 1, x)
 3    2
x    x
-- + -- + x
3    2
>>> integrate(x/(x**2+2*x+1), x)
               1
log(x + 1) + -----
             x + 1
>>> integrate(exp(-x**2)*erf(x), x)
 ____     2
\/ pi *erf (x)
--------------
      4

transform(x, u)

>>> from sympy.abc import a, b, c, d, x, u, y
>>> from sympy import Integral, S, cos, sqrt
>>> i = Integral(x*cos(x**2 - 1), (x, 0, 1))
>>> i.transform(x, u)
Integral(u*cos(u**2 - 1), (u, 0, 1))
>>> i.transform(x**2 - 1, u)
Integral(cos(u)/2, (u, -1, 0))