# 1st: Import the sympy module
import sympy as sp  # Import sympy for symbolic mathematics

# 2nd: Define the variable 'g'
g = sp.symbols('g')  # Define the symbolic variable 'g'

# 3rd: Define the integrand
integrand = 4 / (3 + g)  # Define the function to integrate

# 4th: Perform the integration with respect to 'g'
integral_result = sp.integrate(integrand, g)  # Compute the integral

# 5th: Display the result
sp.pprint(integral_result)  # Pretty print the result

# 1st: Import the sympy module
import sympy as sp  # Import sympy for symbolic mathematics

# 2nd: Define the variable 't'
t = sp.symbols('t')  # Define the symbolic variable 't'

# 3rd: Define the integrand
integrand = (sp.exp(3 * t)) / (sp.exp(3) + sp.exp(3 * t))  # 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
sp.pprint(integral_result)  # Pretty print the result

# 1st: Import the sympy module
import sympy as sp  # Import sympy for symbolic mathematics

# 2nd: Define the variable 'f'
f = sp.symbols('f')  # Define the symbolic variable 'f'

# 3rd: Define the integrand
integrand = 1 / (sp.sqrt(f + 1)**3)  # Define the function to integrate

# 4th: Perform the integration with respect to 'f'
integral_result = sp.integrate(integrand, f)  # Compute the integral

# 5th: Display the result
sp.pprint(integral_result)  # Pretty print the result

# 1st: Import the sympy module
import sympy as sp  # Import sympy for symbolic mathematics

# 2nd: Define the variable 'l'
l = sp.symbols('l')  # Define the symbolic variable 'l'

# 3rd: Define the integrand
integrand = sp.csc(l) * sp.cot(l) / (3 + 2 * sp.csc(l))  # Define the function to integrate

# 4th: Perform the integration with respect to 'l'
integral_result = sp.integrate(integrand, l)  # Compute the integral

# 5th: Display the result
sp.pprint(integral_result)  # Pretty print the result

# 1st: Import the sympy module
import sympy as sp  # Import sympy for symbolic mathematics

# 2nd: Define the variable 'm'
m = sp.symbols('m')  # Define the symbolic variable 'm'

# 3rd: Define the integrand
integrand = m**3 / (m**2 + 1)  # 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
sp.pprint(integral_result)  # Pretty print the result