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int (1)/((x^(2) + 1)(x^(2)+ 4)) dx =...

`int (1)/((x^(2) + 1)(x^(2)+ 4)) ` dx =

A

`(1)/(3) [ tan^(-1) x - (1)/(2) tan^(-1)""(x)/(2)] + c`

B

`(1)/(3) [ tan^(-1) x + (1)/(2) tan^(-1)""(x)/(2)] + c`

C

`(1)/(3) [tan^(-1) x - (x)/(2) + 2 tan^(-1) x] + c`

D

`(2)/(3) [ tan^(-1) x - (3)/(2) tan^(-1)""(x)/(2)] + c`

Text Solution

Verified by Experts

The correct Answer is:
A
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