Evalaute `intx^(_1//2)(2+3x^(1//3))^(-2)dx`.

Explanation

To evaluate the integral \( \int x^{-\frac{1}{2}} (2 + 3x^{\frac{1}{3}})^{-2} \, dx \), we will follow these steps:

### Step 1: Substitution
Let \( x = t^6 \). Then, we differentiate to find \( dx \):
\[ dx = 6t^5 \, dt \]
Now, substituting \( x \) into the integral:
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