Eric Nicholas K's answer to Kavita's International Baccalaureatte Further Maths HL Singapore question.

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Eric Nicholas K
Eric Nicholas K's answer
3943 answers (Tutor Details)
Observe that the numerator exactly the derivative of the denominator.

If we differentiate ln (f(x)), we get

1 divided by f(x) times the derivative of f(x)
= f'(x) divided by f(x)

so the reverse order is getting ln (f(x)).

Your integral sign looks like an 8...