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Let xand a stand for distance . Is int...

Let `x`and `a` stand for distance . Is ` int (dx)/(sqrt (a^(2) - x^(2))) = (1)/(a) sin^(-1) (a/(x))` dimensionally correct ?

Text Solution

Verified by Experts

Integral on LHS have value of the from log x
which is dimensionless. As RHS is not
dimensionless, therefore, the formula is not
correct.
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Let x and a stand for distance . Is int (dx)/(sqrt (a^(2) - x^(2))) = (1)/(a) sin^(-1) (a/(x)) dimensionally current ?

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