Question

how do you integrate 30x^2/((x-2)(x+3)(x-5)) using partial fraction decomposition

Answer 1

Set 30x^2/[(x-2)(x+3)(x-5)]

= A/(x-2) + B/(x+3) + C/(x-5)

Then rewrite the term on the right with a common denominator to see what A, B and C have to be.

Then integrate the partial fractios. You should get three log terms