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Evaluate: intx/((x-1)(x^2+4))dx...

Evaluate: `intx/((x-1)(x^2+4))dx`

A

`1/5 log |x-1| -(1)/(10) log (x ^(2) +4) + 2/5 tan ^(-1) ((x)/(2)) +C`

B

`2/5 log |x-1| + log (x ^(2) + 4) - tan ^(-1) ((x)/(2)) +C`

C

`4/5 (log |x-1) + log (x ^(2) + 4) - 2 tan ^(-1) ((x)/(2)) +C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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