Hi. for solving an equation by using MATLAB, in the first step, we need to solve some dual integral. boundary of integrals are defined by functions, and the integrand is symbolic. when we use 'int' or 'dblquad' functions, MATLAB didn't give us an suitable and acceptable answer. several parts of answer of integrals due to not being explicit,may remove by each other. what is the solution for this problem? (For example, one of the integrals is shown in the following pic.)
You'd probably have done a mistake, since in those integrals the final integration has to be performed between constant values. Check it again.
In the symbolic, and the extended symbolic toolboxes, there some commands that may be used for organizing the results of symbolic math. For example, you may apply the commands simplify, and pretty for better forms of the results.
I have also a previous story with the symbolic math integration using the MATLAB. In my case, the MATLAB couldn't solve the problem, while, the more powerful, mathemstica performed the task.
Remember the area under the curve is the integral. You can solve integrals numerically using a numerical method such as the trapezoid rule or one of Simpsons rules. You can also solve them using Monte Carlo. Once you build your own functions you don't need to mess around with the Matlab language anymore and can move on to better, free languages (Python, R, C, etc...)
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