Solution 11842: Algorithm Used for Symbolic Integration Function on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.
What algorithm is used for symbolic integration on the TI-89 family, TI-92 family and Voyage 200?Antiderivatives are determined by substitutions, integration by parts, and partial-fraction expansion, much as described by J. Moses in "Symbolic Integration: The Stormy Decade", Communications of the ACM, August 1971, Volume 14, Number 8, pp. 548-559. Antiderivatives are NOT computed by any of the Risch-type algorithms.
Definite integrals are determined by subdividing the interval at detected singularities, then for each interval, computing the difference of the limit of an antiderivative at the upper and lower integration limits. Except in exact mode, nInt() is used were applicable when symbolic methods don't succeed.