# 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)
你看了这段代码吗:http://statmath.org/calculate_area.pdf
根据我的经验,查看wiki中的方程式有助于我翻译成python。以下是一些wiki页面:
Riemann definition
Fundamental theorem of calculus
Numerical integration
此外,python的数学模块将帮助您:
Python Math
在检查完这些之后,看看python语言中其他数学公式的一些示例,了解如何集成一些数学函数。
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