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In the integral int(dx)/(2ax-x^(2))^(1//...

In the integral `int(dx)/(2ax-x^(2))^(1//2)=ansin^(-1)((x)/(a)-1),` the value of `n` should be ( by dimensions ):

A

`1`

B

`-1`

C

`0`

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Here `(x)/(a)` should dimensionless so `.a.` must have the dimensions of `.x.` So value of `n=0` will satisfy the integration Equation.
Hence `(c )` is correct.
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