📘 vector analysis

1. **Problem:** Verify Green's theorem for the line integral \( \oint_C (3x^2 - 8y^2) \, dx + (4y - 6xy) \, dy \), where \( C \) is the boundary of the region defined by \( y^2 = x

1. The problem is to verify the direction "south-west" as an answer, likely related to a vector or navigation problem. 2. To cross-verify, we need the original problem statement or