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July 1st, 2012, 08:22 PM   #1
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numerical integration



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July 1st, 2012, 09:41 PM   #2
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Re: numerical integration

Let















We have



Rearrange and simplify,

,

So,

Let

I think you may get the answer..
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July 1st, 2012, 09:46 PM   #3
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Re: numerical integration

I get:

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July 1st, 2012, 10:13 PM   #4
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Re: numerical integration

Quote:
Originally Posted by MarkFL
I get:

Me too.

I use Matlab to execute this integral,

Code:
syms x;int(sqrt(exp(x)/(exp(x)-1))/sqrt(6),x,0,x_0)
while x_0 in [4.425, 4.428], I got the same approximate value 2.37....
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