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

# 2nd: Define the variables 'c' and 'n'
c, n = sp.symbols('c n')  # Define symbolic variables 'c' and 'n'

# 3rd: Define the integrand
integrand = c * n * sp.exp(c**2 * n)  # Define the function to integrate

# 4th: Perform the inner integral with respect to 'n' from 0 to 2
inner_integral = sp.integrate(integrand, (n, 0, 2))  # Compute the inner integral

# 5th: Perform the outer integral with respect to 'c' from 0 to 3
double_integral = sp.integrate(inner_integral, (c, 0, 3))  # Compute the outer integral

# 6th: Display the result
sp.pprint(double_integral)  # Pretty print the result

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

# 2nd: Define the variables 'x' and 'y'
x, y = sp.symbols('x y')  # Define symbolic variables 'x' and 'y'

# 3rd: Define the integrand
integrand = 4 + 2*x - y**2  # Define the function to integrate

# 4th: Perform the inner integral with respect to 'x' from 0 to 2*y
inner_integral = sp.integrate(integrand, (x, 0, 2*y))  # Compute the inner integral

# 5th: Perform the outer integral with respect to 'y' from 0 to 1
double_integral = sp.integrate(inner_integral, (y, 0, 1))  # Compute the outer integral

# 6th: Display the result
sp.pprint(double_integral)  # Pretty print the result

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

# 2nd: Define the variables 'm' and 'n'
m, n = sp.symbols('m n')  # Define symbolic variables 'm' and 'n'

# 3rd: Define the integrand
integrand = m * n**2  # Define the function to integrate

# 4th: Perform the inner integral with respect to 'm' from 1 to 3
inner_integral = sp.integrate(integrand, (m, 1, 3))  # Compute the inner integral

# 5th: Perform the outer integral with respect to 'n' from 0 to 6
double_integral = sp.integrate(inner_integral, (n, 0, 6))  # Compute the outer integral

# 6th: Display the result
sp.pprint(double_integral)  # Pretty print the result

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

# 2nd: Define the variables 'x' and 'y'
x, y = sp.symbols('x y')  # Define symbolic variables 'x' and 'y'

# 3rd: Define the integrand
integrand = x + y  # Define the function to integrate

# 4th: Perform the inner integral with respect to 'y' from 0 to 2
inner_integral = sp.integrate(integrand, (y, 0, 2))  # Compute the inner integral

# 5th: Perform the outer integral with respect to 'x' from -1 to 1
double_integral = sp.integrate(inner_integral, (x, -1, 1))  # Compute the outer integral

# 6th: Display the result
sp.pprint(double_integral)  # Pretty print the result

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

# 2nd: Define the variables 'z' and 'y'
z, y = sp.symbols('z y')  # Define symbolic variables 'z' and 'y'

# 3rd: Define the integrand
integrand = z / y**2  # Define the function to integrate

# 4th: Perform the inner integral with respect to 'z' from 4 to 6
inner_integral = sp.integrate(integrand, (z, 4, 6))  
# Compute the inner integral with respect to 'z'

# 5th: Perform the outer integral with respect to 'y' from 1 to 2
double_integral = sp.integrate(inner_integral, (y, 1, 2))  
# Compute the outer integral with respect to 'y'

# 6th: Display the result
sp.pprint(double_integral)  # Pretty print the result