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int (x ^(n-1))/( x ^(2n) + a ^(2)) dx =...

`int (x ^(n-1))/( x ^(2n) + a ^(2)) dx =`

A

`(1)/( an ) tan^(-1) ((x^n)/(a))+C`

B

`(n)/(a) tan^(-1)((x^n)/(a))+C`

C

`(n)/(a) sin^(-1) ((x^n)/(a) ) +C`

D

`(n)/(a) cos^(-1) ((x^(n))/(a))+C`

Text Solution

Verified by Experts

The correct Answer is:
A
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