scipy求二重(多重)积分：点击跳转.

sympy求积分：点击跳转.

问题1：求解如下一重积分：

$$F(x)={\int }_0^1{x}^2+e^x+1dx.$$
程序1.

import scipy.integrate as integrate
import numpy as np
result = integrate.quad(lambda x: x**2 + np.exp(x) + 1, 0, 1)
print(result)

程序2.

import scipy.integrate as integrate
import numpy as np
def f(x):return x**2 + np.exp(x) + 1
result = integrate.quad(f, 0, 1)
print(result)

结果：
(3.051615161792378, 3.3879734149171206e-14)

问题2：假设求解如下积分：

$$F(x)={\int }_0^{1}a{x}^2+bx+cdx.$$
假设： $$a=3,b=2,c=1$$

即：$$F(x)={\int }_0^{1}3x^2+2x+1dx.$$

程序：

from scipy.integrate import quaddef integrand(x, a, b, c):return a*x**2 + b*x + ca = 3 
b = 2
c = 1
I = quad(integrand, 0, 1, args=(a,b,c))
print(I)

 结果：(3.0, 3.3306690738754696e-14)