CK12 Calculus - Single Variable

1. To find the partialfractiondecompositionof a properrationalfunction, factorthe denominator
   and writean equationthat has the form


2. For eachdistinctfactor the right side mustincludea term of the form


3. For eachrepeatedfactor the right side mustincluden termsof the form

Example2:

Use the methodof partialfractionsto evaluate.
Solution:

Accordingto the guideabove(item#3), we mustassignthe sum of partialsums:

Multiplyboth sidesby

Equatingthe coefficientsof like termsfrom both sides,

Thus

Thereforethe partialfractiondecompositionis