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Integrate the rational functions(2x-3)/...

Integrate the rational functions`(2x-3)/((x^2-1)(2x-4)`

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Given` (2x−3​)/((x^2+1)(2x+3))=(2x−3​)/((x+1)(2x+3)(x-1))`
`Let (2x−3​)/((x+1)(2x+3)(x-1))=A/(x+1)+B/(x-1)+C/(2x+3)`
`⇒(2x−3)=A(x−1)(2x+3)+B(x+1)(2x+3)+C(x+1)(x−1)`
`⇒(2x−3)=A(2x^2+x−3)+B(2x^2+5x+3)+C(x^2−1)`
`⇒(2x−3)=(2A+2B+C)x^2+(A+5B)x+(−3A+3B−C)`
Equating the coefficients of x2 and x and constant term, we obtain
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