A Level Maths Notes: C4 – Integrating Reciprocals of Linear Expressions by Rearrangement



Integrating any quotient of the formcan be done by making the substitutionFor example to findsubso the integral becomes(1)

Complete the integral by substitutingto obtain

There is a method that is often quicker. The method is to take out factors to obtain an expressionwhich integrates to give

Example: Find

Example: Find


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