deletions | additions       diff --git a/Integrals_Multivariate_delta_functions_delta__.tex b/Integrals_Multivariate_delta_functions_delta__.tex  index 844c506..ecacc69 100644  --- a/Integrals_Multivariate_delta_functions_delta__.tex  +++ b/Integrals_Multivariate_delta_functions_delta__.tex 
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Integrals  Multivariate delta functions  \[  \int  \delta({g(\vec{x})}) = \int_{zeros \Sigma_{zeros  of g\vec{x}} \frac{\vec{x}}{|\Delta g(\vec{x})|} \]  Plug this into your integrand and simplify before evaluating.