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int1/((x)(6(logx)^2 +7logx + 2)) dx...

`int1/((x)(6(logx)^2 +7logx + 2)) `dx

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We have, `I=int frac{d x}{x{6(log x)^{2}+7 log x+2}}`
Putting `log x=t`
`Rightarrow frac{1}{x} d x=d t`
`therefore I=int frac{d t}{6 t^{2}+7 t+2}`
`=int frac{d t}{(3 t+2)(2 t+1)}`
Let `frac{1}{(3 t+2)(2 t+1)}=frac{A}{3 t+2}+frac{B}{2 t+1}`
`Rightarrow frac{1}{(3 t+2)(2 t+1)}=frac{A(2 t+1)+B(3 t+2)}{(3 t+2)(2 t+1)}`
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