Consider the indefinite integral
\int (6x^(3) 3x^(2)-49x-30)/(x^(2)-9),dx
Then the integrand decomposes into the form
ax b (c)/(x-3) (d)/(x 3)
where
a=
b=
c=
d=
Integrating term by term, we obtain that
\int (6x^(3) 3x^(2)-49x-30)/(x^(2)-9),dx=