Problem 57P

Compute the line integral of

around the path shown in Fig. 1.50 (the points are labeled by their Cartesian coordinates). Do it either in cylindrical or in spherical coordinates. Check your answer, using Stokes’ theorem.

figure 1.50

Solution

Step 1 of 4

We have to compute the given line given line integral with Stokes’ theorem.

The Stokes’ theorem states that the surface integral of a function over any surface which is bounded by a closed path is equal to the line integral.