The value of the definite integral $\int_0^2 (3x^2 - 4x + 1) \, dx$ is $2$.

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Here are 5 related questions to explore:

1. How do you compute indefinite integrals involving polynomials?
2. How can the Fundamental Theorem of Calculus help solve definite integrals?
3. What happens if we integrate higher-degree polynomials over different limits?
4. How can definite integrals be used to calculate areas under curves?
5. How would you solve a definite integral involving trigonometric functions?

Tip: To verify the result of a definite integral, consider computing the antiderivative first and then evaluating it at the upper and lower bounds.