Evaluate `intx/((7x-10-x^2)^(3/2))dx`

Explanation

To evaluate the integral \( I = \int \frac{x}{(7x - 10 - x^2)^{3/2}} \, dx \), we will follow a systematic approach.

### Step 1: Rewrite the integral
We start with the integral:
\[ I = \int \frac{x}{(7x - 10 - x^2)^{3/2}} \, dx \]
We can rewrite the expression in the denominator:
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