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Given that int (dx)/(sqrt(2 ax - x^2)) =...

Given that `int (dx)/(sqrt(2 ax - x^2)) = a^n sin^(-1) ((x-a)/(a))` where a is a constant. Using dimensional analysis. The value of n is

A

1

B

-1

C

0

D

none of the above.

Text Solution

Verified by Experts

The correct Answer is:
(c )
The integral on LHS is in the from of log x, which is a number. Hence, `a^n` must be a number, for which n = 0
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