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(1)/(xsqrt(ax-x^(2)))" [Hint : Put x "=(...

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

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To solve the integral \( I = \int \frac{1}{x \sqrt{ax - x^2}} \, dx \), we will use the substitution \( x = \frac{a}{t} \). Here are the steps: ### Step 1: Substitute \( x = \frac{a}{t} \) Using the substitution \( x = \frac{a}{t} \), we differentiate to find \( dx \): \[ dx = -\frac{a}{t^2} \, dt \] ...
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