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Core 4 A level Integration by Substitution

Use the given substitution to find the following integrals:
2/?x(x-4) u=?x

I know the method, but i just can't seem to apply it
Every time i've done this question i've ended up with something that just won't integrate

Any help would be GREAT
Please show your method ^_^
Reply 1
Avatar for nuodai
nuodai
17
Is the '?' supposed to be a square root?

What have you tried? Note that if u=xu=\sqrt{x} then x=u2x=u^2, so dx=2u dudx = 2u\, du, etc...

After you've done the substitutions, partial fractions may prove to be useful.
Reply 2
Avatar for Claxxy
Claxxy
OP
Yeah the ? is a square root
I guess it didn't recognise the symbol :/

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