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 'm' m = sp.symbols('m') # Define the symbolic variable 'm' # 3rd: Define the integrand integrand = (m**3 - 2) / m # Define the function to integrate # 4th: Perform the integration with respect to 'm' integral_result = sp.integrate(integrand, m) # Compute the integral # 5th: Display the result print(integral_result) # 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 'x' x = sp.symbols('x') # Define the symbolic variable 'x' # 3rd: Define the integrand integrand = (sp.ln(x) + 4) / x**2 # Define the function to integrate # 4th: Perform the integration with respect to 'x' integral_result = sp.integrate(integrand, x) # Compute the integral # 5th: Display the result print(integral_result) # 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 's' s = sp.symbols('s') # Define the symbolic variable 's' # 3rd: Define the integrand integrand = s / sp.sqrt(s + 5) # Define the function to integrate # 4th: Perform the integration with respect to 's' integral_result = sp.integrate(integrand, s) # Compute the integral # 5th: Display the result print(integral_result) # 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 't' t = sp.symbols('t') # Define the symbolic variable 't' # 3rd: Define the integrand integrand = t**2 * sp.sqrt(1 - t**2) # Define the function to integrate # 4th: Perform the integration with respect to 't' integral_result = sp.integrate(integrand, t) # Compute the integral # 5th: Display the result print(integral_result) # 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 'n' n = sp.symbols('n') # Define the symbolic variable 'n' # 3rd: Define the integrand integrand = n**2 / sp.sqrt(n**2 - 4) # Define the function to integrate # 4th: Perform the integration with respect to 'n' integral_result = sp.integrate(integrand, n) # Compute the integral # 5th: Display the result print(integral_result) # Print the result of the integral