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If int (x^(2)-a^(2))/(x^(2)+a^(2))dx=x+k...

If `int (x^(2)-a^(2))/(x^(2)+a^(2))dx=x+k "tan"^(-1)(x)/(a)+c` then k=

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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