1. **Problem:** Understand and apply basic integral formulas. 2. **Formula 1:** \(\int k \, dx = kx + c\), where \(k\) is a constant. 3. **Formula 2:** \(\int ax^n \, dx = \frac{ax^{n+1}}{n+1} + c\), for \(n \neq -1\). 4. **Formula 3:** \(\int [f(x) + g(x)] \, dx = F(x) + G(x) + c\), where \(F(x)\) and \(G(x)\) are antiderivatives of \(f(x)\) and \(g(x)\) respectively. 5. These formulas allow us to find the antiderivative (integral) of constants, power functions, and sums of functions. 6. Remember, \(c\) is the constant of integration, representing any constant value added to the antiderivative. 7. When integrating sums, integrate each term separately and then add the results. 8. For power functions, ensure \(n \neq -1\) because the formula changes for \(n = -1\) (logarithmic integral). 9. These are foundational rules for solving many integral problems in calculus.