Integral with suffix notation and the Divergence Theorem?

  • Thread starter Thread starter davcrai
  • Start date Start date
  • Tags Tags
    Integral Notation
davcrai
Messages
13
Reaction score
0

Homework Statement


Trying to figure out the following integral was done...

intv(ui(partial)d(sigmaij)/(partial)dxj)dv

Homework Equations


Divergence theorem intv(del.F)dv = ints(F.n)ds

The Attempt at a Solution



I have the correct ans from one of my lectures,

ints(uinjsigmaij)ds - intv((partial)d(ui)/(partial)dxj)sigmaij)dv

I think its done by integration by parts but can't seem to get it to work out.
Also how do people get math script in here??

Homework Statement


Homework Equations


The Attempt at a Solution

 
Physics news on Phys.org
you do [ tex ] (no spaces) to start and [ /tex ] (no spaces) to finish.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top