Question

Compute the double integral

 

Note that the region of integration lies to the right of the line y = x. Use this fact and a MATLAB relational operator to eliminate values for which y > x.

Answer 1

Consider the double integral

A = ∫10∫3yx2(x + y)dxdy

 

To evaluate the integral, use symbolic conversion of the variables (command is ‘int’) and then convert to real number using ‘double’ command.

 

Matlab\r\ncode: for Required problem is provided below.

Save this program as ‘Required problem’.

% Compute the double integral

clc; clear;

syms x y

fun = @(x,y)x.^2.*(x+y);

A = int(fun,x,[y,3]);

B = int(A,y,0,1);

C = double(B);

disp(\'Double integration of the above function:\');

disp(C);

 

The output of the code ‘Required problem’ in the command window is shown below:

Double integration of the above function:

24.6333.

Double integration of the above function:

24.6333.