1. What is the python code for this problem:
# 1st: Import the sympy module import sympy as sp # Import sympy for symbolic computation # 2nd: Define the variable g = sp.symbols('g') # Define the symbolic variable 'g' # 3rd: Define the integrand integrand = 1 / (g**4 + 4) # Define the function to integrate # 4th: Perform the integration integral = sp.integrate(integrand, g) # Perform the integration # 5th: Output the result print("The integral is:", integral) # Print the result of the integral
2. What is the python code for this problem:
# 1st: Import the sympy module import sympy as sp # Import sympy for symbolic computation # 2nd: Define the variable f = sp.symbols('f') # Define the symbolic variable 'f' # 3rd: Define the integrand integrand = f**2 / (f**2 + 2*f + 2) # Define the function to integrate # 4th: Perform the integration integral = sp.integrate(integrand, f) # Perform the integration # 5th: Output the result print("The integral is:", integral) # Print the result of the integral
3. What is the python code for this problem:
# 1st: Import the sympy module import sympy as sp # Import sympy for symbolic computation # 2nd: Define the variable y = sp.symbols('y') # Define the symbolic variable 'y' # 3rd: Define the integrand integrand = y**2 / (y**2 + 4)**2 # Define the function to integrate # 4th: Perform the integration integral = sp.integrate(integrand, y) # Perform the integration # 5th: Output the result print("The integral is:", integral) # Print the result of the integral
4. What is the python code for this problem:
# 1st: Import the sympy module import sympy as sp # Import sympy for symbolic computation # 2nd: Define the variable p = sp.symbols('p') # Define the symbolic variable 'p' # 3rd: Define the integrand integrand = 1 / (p * (1 + p**2)**2) # Define the function to integrate # 4th: Perform the integration integral = sp.integrate(integrand, p) # Perform the integration # 5th: Output the result print("The integral is:", integral) # Print the result of the integral
5. What is the python code for this problem:
# 1st: Import the sympy module import sympy as sp # Import sympy for symbolic computation # 2nd: Define the variable z = sp.symbols('z') # Define the symbolic variable 'z' # 3rd: Define the integrand integrand = 1 / (z**2 + 4*z + 5)**2 # Define the function to integrate # 4th: Compute the integral integral = sp.integrate(integrand, z) # Perform the integration # 5th: Output the result print("The integral is:", integral) # Print the result of the integral