HP 42S Integration

[lrdheat]

Thanks, Albert!

Each integration strategy has it’s strength’s and weaknesses, yet I am amazed at how well they work for most problems. On the HP 42S, using an accuracy of 1e-5, most definite integrals can be solved in seconds, even with the much slower processor in the 30+ year old calculator!

I avoided the complex number difficulty by integrating x^1/3 from +3 to 0 (yielding a negative result), and adding that to the same integral from 0 to 1. This was much quicker and more accurate! I had been curious, though, about using the sign, abs means, and it is found to be less accurate and much slower!