A derivative calculator seems a lot easier to build as it much more “rule” based and solutions are usually what you would expect them to be. But how on earth can integral calculators figure out absolutely brutal integrals like sqrt(tanx) is in less than 5 seconds?
In: 102
There are rule based solutions for integration, too.
However, failing that, a computer can brute force a Riemann sum accurate to 0.01% in milliseconds. That’s what computers are good at – lots and lots of simple operations. It just splits the curve into rectangles and adds their areas together.
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