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# Partial Fractions and algebraic division question! Mathematical paradox! Tweet

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1. Partial Fractions and algebraic division question! Mathematical paradox!
Okay so there's a question in the edexcel C4 book from the integration chapter. But the integration isn't what I have a problem with. I've included screen shots to make this clearer. My problem is the step where you convert it from an improper fraction.

As you can see the fraction becomes 1 + 4/u^2-4
BUT the first time I did it I used algebraic long division

and its clearly 1- 4/u^2-4

I'm literally clueless as to why this is the case. WT* have I done wrong!?
2. Re: Partial Fractions and algebraic division question! Mathematical paradox!
Same as in the other thread

btw I love the fact that you * the F in WTF
3. Re: Partial Fractions and algebraic division question! Mathematical paradox!
In your long division it looks like you have divided (u^2 - 4) by u^2 instead of dividing u^2 by (u^2 - 4)