1. The problem is to determine if there is a comprehensive list of formulas covering integration. 2. Integration formulas include basic rules such as the power rule, sum rule, and constant multiple rule: $$\int x^n \, dx = \frac{x^{n+1}}{n+1} + C, \quad n \neq -1$$ $$\int (f(x) + g(x)) \, dx = \int f(x) \, dx + \int g(x) \, dx$$ $$\int a f(x) \, dx = a \int f(x) \, dx$$ 3. Important formulas also include integration by parts: $$\int u \, dv = uv - \int v \, du$$ 4. Substitution rule: $$\int f(g(x)) g'(x) \, dx = \int f(u) \, du$$ 5. Common integrals of trigonometric, exponential, and logarithmic functions: $$\int \sin x \, dx = -\cos x + C$$ $$\int \cos x \, dx = \sin x + C$$ $$\int e^x \, dx = e^x + C$$ $$\int \frac{1}{x} \, dx = \ln |x| + C$$ 6. There are many more formulas for special functions and techniques like partial fractions, trigonometric substitution, and improper integrals. 7. In summary, while there is a large set of integration formulas, no single list covers all cases due to the variety of functions and methods. Therefore, integration formulas cover many standard cases but are not exhaustive for all possible integrals.