Eric Nicholas K's answer to Kathy's Secondary 4 A Maths Singapore question.

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
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The thing to look for when you integrate this thing is to see whether the DENOMINATOR (with an x in it) is linear or not.

Things like 1/(2x - 3), the denominator 2x - 3 is linear so it integrates to ln.

Things like 1/(2x - 3)^2, the denominator is not linear since it is equal to (2x / 3)^-2, so we integrate normally like bring up power by 1 etc.