Bioche's rules
{{short description|Aids the computation of indefinite integrals involving sines and cosines}}{{Inline|date=June 2022}}
Bioche's rules, formulated by the French mathematician {{ill|Charles Bioche|fr}} (1859–1949), are rules to aid in the computation of certain indefinite integrals in which the integrand contains sines and cosines.
In the following, is a rational expression in and . In order to calculate , consider the integrand . We consider the behavior of this entire integrand, including the