Improper (difficult) integrals at SwissMicros Calculator Forum

[lrdheat]

Interestingly, integrating from 10^-18 to .99 + from .99 to 1-10^-6 + from 1-10^-6 to 1-10^-12 + from 1-10^-12 to 1-10^-15 + from 1-10^-15 to 1-10^-18 produced the exact same answer! Integration from 10^-18 to .99 produces 33.92+, or about .1 lower than the earlier result. The integrations above .99 only contribute another ~.1 The big contribution to the real answer of 100 comes from the very first part of the interval. My CAS unit shows 81+ of the 100 comes from the the first 1 millionth part (from 0 to 10^-6)! My CASIO 991CW correctly showed the result from .99 to 1.