Mastering Mathematics Smartly
by Wee Wen Shih

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Integrate rational functions

Consider using these strategies, when integrating rational functions:

(S1) Use long-division, if the expression is improper.

(S2) Use partial fractions, if the denominator can be factorised.

(S3) Complete the square, if the denominator cannot be factorised. This usually leads to a recognisable integral.

(S4) Use integrals of recognisable forms.

See example 1, example 2, example 3.

Try this: Mathematics 9233 Nov '05/Paper 1/Q14 Either