int (1)/(a^(2)-x^(2))dx equals...

`int (1)/(a^(2)-x^(2))dx` equals

A

`log|(a-x)/(a+x)|+c`

B

`(1)/(a).log|(a-x)/(a+x)|+c`

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:

C

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int (1)/(x^(2)-a^(2))dx equals

A

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

B

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

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

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int (1)/(x^(2)-a^(2))dx equals

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

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

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

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int (1)/(sqrt(a^(2)-x^(2)))dx equals

A

`sin^(-1)((a)/(x)) +c`

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`sin^(-1)((x)/(a)) +c`

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`log|(a)/(x)|+c`

D

None of these

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