Find the antiderivative of $f(x) = 3x^2$.

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∻Solution by Steps∻ ‖ step 1 ⋮ To find the antiderivative of $f(x) = 3x^2$, we need to integrate the function with respect to $x$. ‖ ‖ step 2 ⋮ The integral of $3x^2$ with respect to $x$ is given by $\int 3x^2 \, dx$. ‖ ‖ step 3 ⋮ Using the power rule for integration, $\int x^n \, dx = \frac{x^{n+1}}{n+1} + C$, we get $\int 3x^2 \, dx = 3 \cdot \frac{x^{2+1}}{2+1} + C$. ‖ ‖ step 4 ⋮ Simplifying, we obtain $3 \cdot \frac{x^3}{3} + C = x^3 + C$. ‖ ∻Answer∻ ⚹ The antiderivative of $f(x) = 3x^2$ is $x^3 + C$. ⚹ ∻Key Concept∻ ⚹Antiderivative (Indefinite Integral)⚹ ∻Explanation∻ ⚹The antiderivative of a function is found by integrating the function with respect to its variable. In this case, we used the power rule for integration to find the antiderivative of $3x^2$.⚹◊What is the general formula for finding the antiderivative of a polynomial function?⍭ Generate me a similar question◊

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