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(Solved): Consider the indefinite integral \int (6x^(3) 3x^(2)-49x-30)/(x^(2)-9),dx Then the integrand decompo ...



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=


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