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integration by substitution .

I keep getting the question wrong, can you help me?
if you post the question we can have a look :h:
Reply 2
Avatar for omichael
omichael
OP
8
i don't understand where the 1 come from?
screen-11.50.56[02.03.2018].png50.2KB
screen-11.51.48[02.03.2018].png3.4KB
Original post by omichael
i don't understand where the 1 come from?


They split the fraction.

u2u2−4=(u2−4)+4u2−4=(u2−4)u2−4+4u2+4=1+4u2+4\displaystyle \dfrac{u^2}{u^2-4} = \frac{(u^2-4)+4}{u^2-4} = \frac{(u^2-4)}{u^2-4} + \frac{4}{u^2+4} = 1 + \frac{4}{u^2+4}
Reply 4
Avatar for omichael
omichael
OP
8
Original post by RDKGames
They split the fraction.

u2u2−4=(u2−4)+4u2−4=(u2−4)u2−4+4u2+4=1+4u2+4\displaystyle \dfrac{u^2}{u^2-4} = \frac{(u^2-4)+4}{u^2-4} = \frac{(u^2-4)}{u^2-4} + \frac{4}{u^2+4} = 1 + \frac{4}{u^2+4}

i still dont get it mate, can you explain a bit further.
Original post by omichael
i still dont get it mate, can you explain a bit further.


That's as simple as it gets. What exactly do you not get?
Reply 6
Avatar for Notnek
Notnek
21
Original post by omichael
i still dont get it mate, can you explain a bit further.

Use long division if you don't like that method.

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