Question

Use partial fraction decomposition to evaluate integral (-23x^2-54x-171)/(x^4-81). Please explain.

Answer 1

The numerator in your problem can be broken up into a polynomial. Multiply your A value (-23) by your c value (171). Then try to find what combination of products add to -54.

Once you get it into the general (x+1)(x-1) notation, you should be able to use partial fractions to solve.