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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

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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