number of divisi ons val ue of ∆x xi's ƒ(xi) ∑ (Trapezoid) ∑ (Simpsons) 1 2.00 100 0.01 1 1 0.009950495 1.01 0.99009901 0.009852456 0.019802627 1.02 0.980392157 0.00975633 1.03 0.970873786 0.009662061 0.019418086 1.04 0.961538 462 0.0 09569597 1.05 0.952380952 0.009478886 0.019048195 ƒ(x)= 1/x 1.06 0.943396226 0.009389878 1.07 0.934579439 0.009302527 0.018692133 1.08 0.925925926 0.009216786 1.09 0.917431193 0.009132611 0.018349139 1.1 0.909090909 0.0 09049959 1.11 0.900900901 0.00896879 0.018018506 1.12 0.892857 143 0.0 08889064 1.13 0.884955752 0.008810744 0.017699577 1.14 0.877192 982 0.0 08733791 1.15 0.869565217 0.008658171 0.017391743 1.16 0.862068966 0.008583849 1.17 0.854700855 0.008510792 0.017094433 1.18 0.847457627 0.0 08438969 1.19 0.840336134 0.008368347 0.016807118 1.2 0.833333 333 0.0 08298898 1.21 0.826446281 0.008230592 0.016529302 1.22 0.819672 131 0.0 08163401 1.23 0.81300813 0.008097299 0.016260521 1.24 0.806451613 0.008032258 1.25 0.8 0.007968254 0.016000341 1.26 0.793650794 0.0 07905262 1.27 0.787401575 0.007843258 0.015748357 1.28 0.78125 0.007782219 1.29 0.775193798 0.007722123 0.015504187 1.3 0.769230769 0.0 07662948 1.31 0.763358779 0.007604673 0.015267472 1.32 0.757575758 0.0 07547277 1.33 0.751879699 0.007490742 0.015037877 1.34 0.746268657 0.0 07435047 1.35 0.740740741 0.007380174 0.014815086 1.36 0.735294 118 0.0 07326106 1.37 0.729927007 0.007272823 0.014598799 1.38 0.724637681 0.007220311 1.39 0.71942446 0.007168551 0.014388737 1.4 0.714285714 0.0 07117528 1.41 0.709219858 0.007067226 0.014184635 1.42 0.704225352 0.00701763 1.43 0.699300699 0.006968726 0.013986242 1.44 0.694444 444 0.0 06920498 1.45 0.689655172 0.006872933 0.013793322 1.46 0.684931507 0.006826018 1.47 0.680272109 0.006779739 0.013605652 1.48 0.675675676 0.006734083 1.49 0.67114094 0.006689038 0.01342302 1.5 0.666666 667 0.0 06644592 1.51 0.662251656 0.006600732 0.013245227 1.52 0.657894 737 0.0 06557448 1.53 0.653594771 0.006514727 0.013072082 1.54 0.649350649 0.00647256 1.55 0.64516129 0.006430935 0.012903405 1.56 0.641025641 0.0 06389842 1.57 0.636942675 0.00634927 0.012739026 1.58 0.632911 392 0.0 06309211 1.59 0.628930818 0.006269654 0.012578782 1.6 0.625 0.00623059 1.61 0.621118012 0.00619201 0.01242252 1.62 0.617283951 0.006153904 1.63 0.613496933 0.006116265 0.012270093 1.64 0.609756098 0.0 06079084 1.65 0.606060606 0.006042351 0.012121361 1.66 0.602409639 0.00600606 1.67 0.598802395 0.005970202 0.011976191 1.68 0.595238095 0.00593477 endpoints