Riemann sum in python

Question

我需要幫助編寫一個程序，該程序將使用黎曼定義（左和右規則）來計算f(x)=sin(x)從a=0到b=2*pi的積分。我可以手工做幾天，但我沒有想法如何使用python進行編碼。

Answer 1

根據我的經驗，從wiki中查找方程式幫助我翻譯成python。這裏有幾個wiki頁面：

Riemann definition

Fundamental theorem of calculus

Numerical integration

而且，蟒蛇的數學模塊將幫助您完成此：

Python Math

經過檢查這些，看看其他數學方程的一些例子Python語言來理解如何集成一些數學函數。

Answer 2

你看看這個代碼：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)