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if int(dx)/((x^(2)-2x+10)^(2))=A(tan^(-1...

if `int(dx)/((x^(2)-2x+10)^(2))=A(tan^(-1)((x-1)/(3))+(f(x))/(x^(2)-2x+10))` then find A and f(x).

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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