I’m doing something that I should have done a long time ago: collecting a series of posts into one single post. The links below show my series on numerical integration.
Part 3: Derivation of left, right, and midpoint rules
Part 4: Derivation of Trapezoid Rule
Part 5: Derivation of Simpson’s Rule
Part 6: Connection between the Midpoint Rule, the Trapezoid Rule, and Simpson’s Rule
Part 7: Implementation of numerical integration using Microsoft Excel
Part 22: Comparison of these results to theorems found in textbooks
Part 23: Return to Part 2 and accuracy of normalcdf function on TI calculators