Primitive of Function under its Derivative/Mistake

Source Work

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

$\text {II}$. Calculus: Integration

Mistake

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

The same mistake is propagated through the whole chapter.

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