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Tricky Definite Integral

  • Thread starter lordy2010
  • Start date
  • #1
6
0

Homework Statement



Evaluate integral from -1 to 1 of: sqrt(ln(6-x))/(sqrt(ln(6-x))+sqrt(ln(6+x)))

Homework Equations



n/a

The Attempt at a Solution



I barely know how to approach this integral. I've been trying to figure this out for a long time now, and I feel like I haven't gotten anywhere. I have even used Wolfram Alpha to take a look at the function and it looks like a straight line between -1 and 1. The answer is also, apparently, 1.

Thank you in advanced for the help!
 
Last edited:

Answers and Replies

  • #2
478
32
Think about using the properties of logs:

ln(xy)=ln(x)+ln(y)
ln(x/y)=ln(x)-ln(y)
 
  • #3
6
0
I have considered the properties of logs and, if there were no square roots surrounding each of the ln terms, then I would have an idea of what to do. Unfortunately, there are the square roots outside of the logs so I'm still pretty lost with this integral. :-/
 

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