Please help me code this problems

Answer 1

[Brendan Jozwiak]

syms x y z
%3a
expr_A = x*exp(-y); 
expr_A_y = int(expr_A,y,0,log(x));
expr_A_yx = int(expr_A_y,x,0,2*z);
expr_A_yxz = int(expr_A_yx,z,1,2);
integral_a = vpa(expr_A_yxz);
% display results
disp('"Part A"')

"Part A"

fprintf('The result of integral is: %f\n\n',integral_a);

The result of integral is: 1.666667

%3b
expr_B = z/(y+1);
expr_B_x = int(expr_B,x,0,sqrt(1-z^2)); 
expr_B_xz = int(expr_B_x,z,0,1);
expr_B_xzy = int(expr_B_xz,y,0,1);
integral_b = vpa(expr_B_xzy);
% display results
disp('"Part B"')

"Part B"

fprintf('The result of integral is: %f\n\n',integral_b);

The result of integral is: 0.231049

Answer 2

[Ruchika P Barman]

It is my understanding that you are trying to write a MATLAB code to solve the problem that you have attached with your question. Please consider going through MATLAB Fundamentals or MATLAB On Ramp course in order to solve this with the help of MATLAB.

You may refer to this documentation on Numerical integration - MATLAB integral - MathWorks India to understand the functions and syntax that you can use.