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

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

B

(b) `x^(2)log(a^(2)+x^(2))+x+atan^(-1)(x/a)+c`

C

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

D

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

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The correct Answer is:

C

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