Topic explanation

Standard explanation

Decompose a proper rational function into simple fractions, then solve constants.

Key points

• Partial fractions: linear factors
• rule
• worked example
• Partial fractions: linear factors: Decompose a proper rational function into simple fractions, then solve constants.
• CONCEPT AND RULE: Decompose a proper rational function into simple fractions, then solve constants.
• METHOD: For partial fractions: linear factors, identify the given information and required result. Select th
• Decompose a proper rational function into simple fractions, then solve constants.
• Worked pattern: 1/[x(x+1)]=1x-1x+1, so integral=ln|x|-ln|x+1|+C.

Labelled diagram