ɪn pɚtˈɪkjʊlɚ, səpˈoʊz ɪz ɐ fˈɔːɹm dᵻfˈaɪnd ˌɔn ɐ kəntɹˈæktᵻbəl dəmˈeɪn, ænd ðɪ ˈɪntᵻɡɹəl ʌv ˌoʊvɚɹ ˌɛni klˈoʊzd mˈænɪfˌoʊld ɪz zˈiəɹoʊ.
In particular, suppose  is a form defined on a contractible domain, and the integral of  over any closed manifold is zero.