1. The problem states that the integral equation passes through the point $(-3, -\frac{11}{2})$. 2. To solve this, we need the integral equation or function to evaluate it at $x = -3$ and check if the output is $-\frac{11}{2}$. 3. The general approach is to substitute $x = -3$ into the integral equation and verify the value. 4. If the integral equation is given as $F(x)$, then $F(-3) = -\frac{11}{2}$. 5. This condition can be used to find any constant of integration or verify the correctness of the integral. 6. Without the explicit integral equation, we cannot perform the substitution or solve further. 7. Please provide the integral equation to proceed with detailed steps and verification.