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If int (x+5)/(x^(2)+4x+5))dx=a log(x^(2)...

If `int (x+5)/(x^(2)+4x+5))dx=a log(x^(2)+4x+5) +b Tan^(-1)(x+k)` constant then (a,b,k)=

A

`((1)/(2),3,2)`

B

`((1)/(2)1,2)`

C

`((1)/(2) 3,1)`

D

`(1,3,2)`

Text Solution

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The correct Answer is:
A
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