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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 will use the method of substitution. Here are the steps to arrive at the solution: ### Step 1: Choose a substitution Let \( t = 2 + 3x^3 \). ### Step 2: Differentiate the substitution Now, we differentiate \( t \) with respect to \( x \): \[ ...
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