30.10.25.md (496B)
1 30/10/25 2 ======== 3 4 - see FIG1 for integrating from first principles 5 - the sum is the sum of n x^2 terms 6 - could be solved with the limit rule 7 - see FIG2 for the definition of an integral 8 - delta x is the width of the rectangles used 9 - delta x = (b - a) / n 10 - see FIG3 is the fundamental rule of calculus 11 - assuming f(x) is continuous between a, b then F(x) is also continuous between a, b 12 - basically this says that the integral can move to the derivative and vise versa