1. The problem is to find the antiderivative (indefinite integral) of a given function, which means finding a function whose derivative is the original function. 2. The general formula for the antiderivative of a function $f(x)$ is: $$\int f(x)\,dx = F(x) + C$$ where $F'(x) = f(x)$ and $C$ is the constant of integration. 3. Important rules include: - The power rule: $$\int x^n\,dx = \frac{x^{n+1}}{n+1} + C, \quad n \neq -1$$ - The constant multiple rule: $$\int a f(x)\,dx = a \int f(x)\,dx$$ - The sum rule: $$\int (f(x) + g(x))\,dx = \int f(x)\,dx + \int g(x)\,dx$$ 4. To solve a specific integral, identify the function, apply the rules, simplify, and add the constant $C$. Since no specific function was provided, this is the general explanation and formula for antiderivatives and integration.