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# integration where numerator is equal to differentiation of denominator

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1. Hi guys,
can anyone explain to me the best way you can integrate a function where numerator is equal to differentiation of denominator ? actually on the example blow i somehow made a mistake along the way but can't spot it so i keep getting wrong answer
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2. (Original post by Alen.m)
Hi guys,
can anyone explain to me the best way you can integrate a function where numerator is equal to differentiation of denominator ? actually on the example blow i somehow made a mistake along the way but can't spot it so i keep getting wrong answer

sub,

so the integral becomes,

You should be able to complete it from there.
3. You can just take it as a fact that
.
I suggest that you prove it yourself starting off with y=ln(f(x)) and finding dy/dx (implicit differentiation). It may help the result make more sense.
4. thanks guys

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