  The third named author and P\'{e}rez proved that under certain conditions the
test ideal of a module closure agrees with the trace ideal of the module
closure. We use this fact to compute the test ideals of various rings with
respect to the closures coming from their indecomposable maximal Cohen-Macaulay
modules. We also give an easier way to compute the test ideal of a hypersurface
ring in 3 variables coming from a module with a particular type of matrix
factorization.
