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If lim(dx)/(x^(2)-2x +10)^(2) =A(tan^(-1...

If `lim(dx)/(x^(2)-2x +10)^(2) =A(tan^(-1)(x-1)/3)+(f(x))/(x^(2)-2x+10)+C`
Where C is a constant of integration, then:

A

` A = (1)/(54) and f (x) = 9 (x - 1 ) ^ 2 `

B

` A = (1)/(27) and f (x) = 9 (x - 1 ) `

C

` A = (1)/(81) and f (x) =3 (x - 1 ) `

D

` A = (1)/(54 ) and f (x) = 3 (x - 1 ) `

Text Solution

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The correct Answer is:
D
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