Primitive of Function under its Derivative/Mistake

Source Works

1953: L. Harwood Clarke: A Note Book in Pure Mathematics:

$\text {II}$. Calculus: Integration


1960: Margaret M. Gow: A Course in Pure Mathematics:

Chapter $10$: Integration: $10.4$. Standard integrals: General Rules: $\text {III}$


Mistake

$\ds \int \frac {\map {f'} x} {\map f x} \rd x = \map \ln {\map f x}$


Correction

It should be:

$\ds \int \frac {\map {f'} x} {\map f x} \rd x = \ln \size {\map f x} + C$

from Primitive of Function under its Derivative.


Sources

  • 1953: L. Harwood Clarke: A Note Book in Pure Mathematics ... (previous) ... (next): $\text {II}$. Calculus: Integration
  • 1960: Margaret M. Gow: A Course in Pure Mathematics ... (previous) ... (next): Chapter $10$: Integration: $10.4$. Standard integrals: General Rules: $\text {III}$.
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