Question

我需要帮助对使用黎曼定义（左和右规则）的程序进行编码，以计算从f(x)=sin(x)到a=0的{{1}}的积分。我可以手工做几天，但我不知道如何用python编写代码。

Answer 1

您是否看过这段代码：http://statmath.org/calculate_area.pdf

# Calcuate the area under a curve
#
# Example Function y = x^2
#
# This program integrates the function from x1 to x2
# x2 must be greater than x1, otherwise the program will print an error message.
#
x1 = float(input('x1='))
x2 = float (input('x2='))
if x1 > x2:
print('The calculated area will be negative')
# Compute delta_x for the integration interval
#
delta_x = ((x2-x1)/1000)
j = abs ((x2-x1)/delta_x)
i = int (j)
print('i =', i)
# initialize
n=0
A= 0.0
x = x1
# Begin Numerical Integration
while n < i:
delta_A = x**2 * delta_x
x = x + delta_x
A = A + delta_A
n = n+1
print('Area Under the Curve =', A)

Answer 2

根据我的经验，从维基看方程式帮助我翻译成python。以下是一些维基页面：

Riemann definition

Fundamental theorem of calculus

Numerical integration

此外，python的数学模块将帮助您：

Python Math

查看完毕后，查看python语言中其他数学方程的一些例子，以了解如何集成一些数学函数。

Riemann总和在python中

2 个答案: