P4.6.3 - Simple cases of integration

Simple cases of integration using Integration of rational expressions such as those arising partial fractions. 2 3 from partial fractions, e.g.,. 3x +5 (x −1)2 Note that the integration of other rational expressions, such x 2 as and is also required x2 +5 (2x −1)4 (see P3 section 5.2).

Use simple cases of integration to connect the rule to the data and decision in the question.

This matters because simple cases of integration determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply simple cases of integration to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Simple cases of integration is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.