The image contains three definite integrals. Let's break them down:

1. $\int_{-2}^{1} (4x^3 - 2x) \, dx$

2. $\int_{1}^{5} (2 - x) \, dx$

3. $\int_{0}^{3} (6x^2 + x - 5) \, dx$

Would you like me to go through the solution for each one in detail, or do you have specific questions about any of these integrals?

Related Questions:

1. How do you apply the fundamental theorem of calculus to evaluate these integrals?
2. What techniques can be used when integrating polynomials like these?
3. How do you handle negative or zero values within the limits of integration?
4. How do you interpret the meaning of the definite integral in a real-world context?
5. What are some tips for simplifying integrals before solving them?

Tip: Always simplify the integrand as much as possible before performing the integration for easier calculations.