Hi y'all.(adsbygoogle = window.adsbygoogle || []).push({});

Here is exactly what is stated on the theory page of my book:

Example: Area of a Region

Thearea of a region R in the xy-planecorresponds to the case wheref(x,y)=1.

Area of R= ∫∫dR

Example: Mass of a Region

Themass of a region R in the xy-planewith mass density per unit area ρ(x,y) is given by:

Mass of R= ∫∫ρdR

I'm not at all understanding this first part of the theory, why is it that the area of the region R in the xy-plane is the case f(x,y)=1 and how did they obtain that express for the area R?

All help is immensely appreciated as I'm tearing my hair out over this.

Thanks!

**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!

# Vector Calculus: Area and Mass of a Region

Loading...

Similar Threads - Vector Calculus Area | Date |
---|---|

I Question about vector calculus | Aug 11, 2017 |

I Proofs of Stokes Theorem without Differential Forms | Jan 24, 2017 |

I Kronecker Delta and Gradient Operator | Jan 8, 2017 |

I Vector Calculus: What do these terms mean? | Dec 2, 2016 |

Area Inside Lemniscate Vector Calculus | Sep 17, 2007 |

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