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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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