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  #151    
Old September 19th, 2011 (04:12 AM).
Overlord Drakow's Avatar
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I do not think so. I gave it some thought but nothing springs to mind. That is one seriously nasty integral though ¬___________¬
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  #152    
Old September 19th, 2011 (04:58 AM).
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I know.

I just hope they aren't gonna give questions like that on the test :/
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  #153    
Old September 20th, 2011 (02:26 AM).
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I've been doing some more thinking on your problem and have come up with a possible simplification.

You could try the substitution t = x^k^-1, where k is any real number.

What that does is inverse the power so you still end up with t^5 and t^4 on the denominator but it should simplify the numerator and make the integrand easier to tackle. I haven't run through the maths or anything but if you want, try it and see.
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  #154    
Old September 20th, 2011 (03:27 AM).
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You mean take t = x^(1/20)? (t = x^20^-1 ?)

I tried that, gives a long answer. It requires applying the binomial theorem with a power of 15)

Or something else like t = 1/x^k? How? :/
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  #155    
Old September 21st, 2011 (01:45 PM). Edited September 22nd, 2011 by Overlord Drakow.
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I meant what I typed out exactly.

t = x^k^-1

So for the first term you have x^(1/5) so the transformation gives t^5 and the second term goes from x^(1/4) to t^4

If that makes sense.

Edit: The transformation inverses the power of x or in other words you flip the fractions over.
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