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Scale difference-of-squares logarithmic forms

Integrate with respect to xx: (a) 1/(x2−4)1/(x^2-4); (b) 1/(4x2−1)1/(4x^2-1); (c) 1/(16−4x2)1/(16-4x^2).

CJC · Lecture · Example 7

The Teacher highlights using moduli inside logarithms.

Match the sign order of the denominator before choosing the logarithmic ratio.

Read the worked solution