Finding Constants for Partial Fraction Integration

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To solve the integral ∫(5x^2-3x+1)/((x^2+1)(x-2)) dx, the first step is to express the integrand using partial fractions. The correct form is (Ax+B)/(x^2+1) + C/(x-2), where A, B, and C are constants that need to be determined. The user initially struggled with both partial fraction decomposition and substitution techniques. To proceed, one must equate coefficients after multiplying through by the denominator to find the values of A, B, and C. This method will facilitate the integration process.
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hello, i have the Intergal ∫(5x^2-3x+1)/((x^2+1)(x-2)) dx
i do not know what to do first, i firstly tried to change to partial fraction but that didn't work to, then i tried substitution technique and again i didn't have anything to substitue that got me any further, i don't know what else to try, somebody please help.
thanx:)
 
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Show us your partial fractions work.
 
Determine constants A,B,C so that:
\frac{5x^{2}-3x+1}{(x^{2}+1)(x-2)}=\frac{Ax+B}{x^{2}+1}+\frac{C}{x-2}
 
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