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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

`x^(2) log (a^(2) + x^(2) ) -2x +2 a 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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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE -II
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