How would I code the trapezoidal rule and simpsons rule for this question with MATLAB. The problem is that the upper y limit is 0.5+0.5x and this is causing problems with my code.

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Answer 1

[Soumya Saxena]

Please consider using the "trapz" function:

https://www.mathworks.com/help/matlab/ref/trapz.html

Also consider the example on the "integral2" function documentation:

https://www.mathworks.com/help/matlab/ref/integral2.html

Please also refer to the following file exchange link for simpson's rule:

https://www.mathworks.com/matlabcentral/fileexchange/28726-simpson-s-rule-integration?focused=5186784&tab=function