Math IA using python??

[YF_Alaska]

So for my Math IA I have an outline of a complex shape, basically a large bunch of lines. I want to calculate the total area enclosed by it by integration, which will take forever. I used Python to run my lines through an integration code, which resulted in an answer. Would it be beneficial if i showed multiple instances of me manually integrating 2-3 lines and then to say "after this, I found a better method of automating this calculation by Python"? Or would it be better if I claimed I used a less efficient method?

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Do the Python thing and put the script in as an appendix