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If int log(a^2+x^2)dx=h(x)+c, then h(x)=...

If `int log(a^2+x^2)dx=h(x)+c`, then `h(x)=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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