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# Basics watch

1. OMG I've got AQA C3 and C4 tomorrow and i've totally forgotten some of the basics...

--When do you use standard integrals? how do you know if you should use them or not?

--Also am I right in saying that something like 5/(2x-6) integrated would be 5/2In (2x-6)? (if that's wrong then I think i just made up a rule!!)

--Also when you're integrating when do you have to differentiate the bracket and divide by it? example?

I think i've got a classic case of exam nerves when you just forget everything... i'm not his stupid honest...
2. --When do you use standard integrals? how do you know if you should use them or not?
Whenever you know and remembered the integral. The level of justification required should be apparent from the question - e.g. questions allocated 6 marks will typically have a longer solution than those allocated 2.

Also am I right in saying that something like 5/(2x-6) integrated would be 5/2In (2x-6)? (if that's wrong then I think i just made up a rule!!)
That's fine, though don't forget the constant. (1/a)d/dx(ln(ax+b))=1/(ax+b) is an easy consequence of the chain rule.

Also when you're integrating when do you have to differentiate the bracket and divide by it? example?
This usually works if you have a function of the form f(ax+b), where the integral would be (1/a)F(ax+b) where F is the integral of f(x).
3. Thankyou, I feel a little better now...

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Updated: June 14, 2006
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