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Contents
Logarithmic Functions
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Logarithmic Functions  The
integrand is a rational function, yet the end-product of integration is a
logarithmic function.
Why
the modulus sign? This is because the values of x can be positive or negative
(there are no restrictions), but the x in ln x cannot be negative (property of
logarithms). Hence the modulus sign to ensure that the logarithm is defined.
Example: Integrate
the following with respect to x,
(a)
(b)
Solution:
(a)
(b)
Rewrite
such that the integral is in the form f'(x)/f(x).
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