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int(2x^(2)+a^(2))/(x^(2)(x^(2)+a^(2)))dx...

`int(2x^(2)+a^(2))/(x^(2)(x^(2)+a^(2)))dx=`

A

`(-1)/(x)+(1)/(a)log((x)/(a))+c`

B

`(-1)/(x)-tan^(-1)((x)/(a))+c`

C

`(-1)/(x)+(1)/(a)tan^(-1)((x)/(a))+c`

D

`2x^(2)+(a^(2))/(2)tan^(-1)((x)/(a))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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