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

Would you like further details on the steps, or do you have any other questions?

Here are 5 related questions to further your understanding:

1. How do you find the antiderivative of a polynomial function?
2. What is the Fundamental Theorem of Calculus and how does it relate to definite integrals?
3. How do you evaluate more complex integrals, such as trigonometric or exponential functions?
4. Can definite integrals have negative values, and what does that represent geometrically?
5. What are some real-life applications of definite integrals?

Tip: When solving integrals, always simplify the function first to make the integration process easier.