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Can you provide a code to trapezoidal Rule for Approximate Value of Definite Integral and the other steps required given the following:
Trapezoidal Rule for Approximate Value of Definite Integral | A sample function whose definite integral 's approximate value is computed using Trapezoidal rule.
Declaring the function f ( x ) = 1 / ( 1 + x * x ).
Function to evaluate the value of integral.
Grid spacing.
Computing sum of first and last terms in above formula.
Adding middle terms in above formula.
h / 2 indicates ( b - a ) / 2 n . Multiplying h / 2 with s ..
Range of definite integral.
Number of grids . Higher value means more accuracy"
Solution in Python:
assistant
#Here is code to trapezoidal Rule for Approximate Value of Definite Integral and the other steps required.
 def y ( x ) :
	return ( 1 / ( 1 + x * x ) )
def trapezoidal ( a , b , n ) :
	h = ( b - a ) / n
	s = ( y ( a ) + y ( b ) )
	i = 1
	while i < n :
		s += 2 * y ( a + i * h )
		i += 1
	return ( ( h / 2 ) * s )
x0 = 0
xn = 1
n = 6
print ( " Value ▁ of ▁ integral ▁ is ▁ " , " % .4f " % trapezoidal ( x0 , xn , n ) )