Integration of (2x^3 + x^2) dx is the process of finding the anti-derivative of the expression. The anti-derivative of 2x^3 + x^2 is 2x^4/4 + x^3/3 + C, where C is an arbitrary constant. We can use the power rule of integration to break down the expression and integrate it.

## Power Rule of Integration

The power rule of integration states that if we have an expression of the form f(x) = ax^n, the anti-derivative of the expression is F(x) = ax^(n+1)/(n+1) + C. This rule is used to integrate any expression containing a power of x, including polynomials.

## Integrating (2x^3 + x^2)

We can use the power rule of integration to integrate (2x^3 + x^2). We start by breaking down the expression into its individual terms. The first term is 2x^3, which can be written as 2x^3 = 2x^3/3 = 2/3 * x^3. Applying the power rule of integration to this term yields 2x^4/4 + C. The second term is x^2. Applying the power rule of integration to this term yields x^3/3 + C. Finally, we add the two anti-derivatives together to get the final anti-derivative: 2x^4/4 + x^3/3 + C.

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