
i.4.30 Curvilinear integrals
condition: Calculate the line integral along a curve specified parametrically (from the first specified point to the second). \[ \int_{l} y d x+z d y-\frac{1}{2} y d z, \quad \text { where } l: x=\cos t \] \[ y=\sin t, z=2-2 \cos t, t_{1}=0, t_{2}=\frac{\pi}{4} \]