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

C

`a 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

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The correct Answer is:
C
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