In a recent homework assignment, I was asked to prodive a definition for ∫f(x) in the Region D, provided there was a discontinuity somewhere in the region. To define the integral, we merely removed a sphere centered on the discontinuity of radius δ>0 and found the limit of the integral as δ→0.(adsbygoogle = window.adsbygoogle || []).push({});

My question is how would you provide a more generalized definition for a function that had multiple undefined points? if i had points (x1,y1) and (x2,y2) where the function was undefined.

Would I somehow split the integral up into three parts?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Multiple Integrals for Functions Unbounded at Isolated Points

Loading...

Similar Threads - Multiple Integrals Functions | Date |
---|---|

B Why do we put the dot multiplication symbol when integrating | May 29, 2016 |

I Integral limits | Apr 21, 2016 |

A Evaluation of a horrible Multiple Integral | Apr 6, 2016 |

Why is an integrated function with multiple terms... | Jan 4, 2016 |

Multiple integral over a function of a vector | Oct 18, 2011 |

**Physics Forums - The Fusion of Science and Community**