This page contains links to articles about bounding integrals by exploiting cancellation in the integrand. If for some reason one does not believe that one can, should, or need to exploit cancellation, one can of course just use the triangle inequality

and use methods for bounding non-oscillatory integrals instead.

• Use integration by parts to exploit cancellation

  • The van der Corput lemma for oscillatory integrals

• The method of stationary phase

• Square and rearrange

  • The van der Corput lemma for equidistribution

• Linearize the phase

• When controlling an oscillatory integral, bump functions and bounded phase corrections are not very important