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#151
September 19th, 2011 (4:12 AM).
 Overlord Drakow -CONQUERER Join Date: Oct 2007 Location: Hell Nature: Serious Posts: 3,402
I do not think so. I gave it some thought but nothing springs to mind. That is one seriously nasty integral though ¬___________¬
"Power through ambition." - Overlord Drakow
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#152
September 19th, 2011 (4:58 AM).
 Renii Se(Renii)ty Join Date: Jun 2011 Location: Dilli Shehar Gender: Male Posts: 83
I know.

I just hope they aren't gonna give questions like that on the test :/
#153
September 20th, 2011 (2:26 AM).
 Overlord Drakow -CONQUERER Join Date: Oct 2007 Location: Hell Nature: Serious Posts: 3,402
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.
"Power through ambition." - Overlord Drakow
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#154
September 20th, 2011 (3:27 AM).
 Renii Se(Renii)ty Join Date: Jun 2011 Location: Dilli Shehar Gender: Male Posts: 83
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? :/
#155
September 21st, 2011 (1:45 PM). Edited September 22nd, 2011 by Overlord Drakow.
 Overlord Drakow -CONQUERER Join Date: Oct 2007 Location: Hell Nature: Serious Posts: 3,402
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.
"Power through ambition." - Overlord Drakow
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