Integrate the functions`1/(sqrt(9-25 x^2))`

Explanation

To solve the integral \( \int \frac{1}{\sqrt{9 - 25x^2}} \, dx \), we will follow these steps:

### Step 1: Rewrite the integral
We can factor out the constant from the square root in the denominator:
\[ \int \frac{1}{\sqrt{9 - 25x^2}} \, dx = \int \frac{1}{\sqrt{9(1 - \frac{25}{9}x^2)}} \, dx \]
This simplifies to:
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