Partial fraction: Cover-up rule

Partial fraction is commonly used in binomial expansion, method of difference and integration.

When the divisor consists only of linear factors, cover up rule can be used to find the constants in the partial fraction quickly.

Example

Express Tex2Img_1400545440 in partial fraction.

Tex2Img_1400545549

By cover up rule,

1

Therefore

Tex2Img_1400546214

2

0 = A+C

3

Therefore,

fraction final

 

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