Methods meant for calculating definite and indefinite integrals of a given expression are implemented in the integrals module. There are two main methods in this module—one for definite integrals and other for indefinite integrals—as follows:

This module allows users to compute integrals on various types of functions, ranging from simple polynomials to complex exponential polynomials. The following program performs integration on a number of functions to demonstrate its capability:

from sympy import integrate, log, exp, oo
from sympy.abc import n, x, y
from sympy import sqrt
from sympy import *
integrate(x*y, x)
integrate(log(x), x)
integrate(log(x), (x, 1, n))
integrate(x)
integrate(sqrt(1 + x), (x, 0, x))
integrate(sqrt(1 + x), x)
integrate(x*y)
integrate(x**n*exp...