Numerical integration: double integrals with the Midpoint Rule

The Midpoint Rule is an elementary Numerical Integration iterative process. Double integrals can be calculated analytically, and numerically. The idea of the Midpoint Rule is to try and break up the integral into individual rectangular prisms and add up the individual volumes of the prisms, obtaining the approximate final volume of the double integral. Much like its two dimensional single variable counterpart, you are finding the volume under the surface, like finding the area under a curve, and instead of area approximation through rectangles, you are approximating the volume through rectangular prisms.

Here is my code for the definite integral of z=x^2+y^3, choose your bounds of integration:

https://repl.it/@PhysicsAndMath/numerical-integration-double-integrals

Note by Kao Cen Darach
7 months, 3 weeks ago

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You could post this in the calculus section as a problem

Steven Chase - 3 weeks, 4 days ago

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Sure! Did the code work?

Kao Cen Darach - 3 weeks, 2 days ago

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I didn't try your code, but I will write my own if you post a problem on this

Steven Chase - 3 weeks, 2 days ago

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@Steven Chase I have now created a problem; please report it or let me know if anything's wrong. Thank you!

Kao Cen Darach - 3 weeks ago

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Hi, thanks for the recommendation! If you are a student like me and need help with homework, then go to this educational platform and find more helpful hints and save time several times on your homework.

Mark Golvani - 1 month, 1 week ago

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Hey buddy, I gave you NO RECOMMENDATION which you so talk about. Get off Brilliant and stop posting ads

Kao Cen Darach - 4 weeks, 1 day ago

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