First, we can rewrite the integral as:
$$\int 3x^{-2/3} dx = 3\int x^{-2/3} dx$$
Now, we can use the power rule for integration, which states that for any real number n ≠ -1:
$$\int x^n dx = \frac{x^{n+1}}{n+1} + C$$
In our case, n = -2/3, so we have:
$$3\int
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