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Match the following. I. int (1)/(9+x^(...

Match the following.
I. `int (1)/(9+x^(2))dx= " " a) (1)/(6) log |(3+x)/(3-x)|+c`
II. `int (1)/(x^(2)-9)dx= " " b) (1)/(6) log |(3-x)/(3+x)|+c`
III. `int (1)/(9-x^(2))dx= " "c)(1)/(3)"Tan"^(-1)(x)/(3)+c`

A

`(1)/(6) log |(3- x)/(3 + x)|+ c `

B

`(1)/(3) log |(3+ x)/(3 - x)|- c `

C

`(1)/(6) log |(3+ x)/(3 - x)|+ c `

D

`(1)/(3) log |(3- x)/(3 + x)|+ c `

Text Solution

Verified by Experts

The correct Answer is:
C
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