`(1)/(xsqrt(ax-x^(2)))" [Hint : Put x "=(a)/(t)"]"`

Explanation

To solve the integral \(\int \frac{1}{x \sqrt{ax - x^2}} \, dx\), we will use the substitution \(x = \frac{a}{t}\). Here’s the step-by-step solution:

### Step 1: Substitution
Let \(x = \frac{a}{t}\). Then, we need to find \(dx\):
\[ dx = -\frac{a}{t^2} \, dt \]

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