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Mathematics Question on Integration by Partial Fractions

If x3(2x−1)(x−1)2=A+B2x−1+Cx−1+D(x−1)2\frac{x^{3}}{\left(2x-1\right)\left(x-1\right)^{2}} = A + \frac{B}{2x-1}+ \frac{C}{x-1}+ \frac{D}{\left(x-1\right)^{2}} , then 2A−3B+4C+5D=2A - 3B + 4C + 5D =

A

212\frac{21}{2}

B

232\frac{23}{2}

C

172\frac{17}{2}

D

192\frac{19}{2}

Answer

172\frac{17}{2}

Explanation

Solution

Answer (c) 172\frac{17}{2}