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Integrate the functions(x^2)/((2+3x^3)^3...

Integrate the functions`(x^2)/((2+3x^3)^3)`

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To solve the integral \(\int \frac{x^2}{(2 + 3x^3)^3} \, dx\), we can follow these steps: ### Step 1: Substitution Let \( t = 2 + 3x^3 \). Then, we differentiate both sides to find \( dt \): \[ dt = 9x^2 \, dx \quad \Rightarrow \quad dx = \frac{dt}{9x^2} \] ...
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