The double integral I I - r/r',/.r' J,, J. \ is an improper integral over the unbounded region in the lirst quadrant between the lines -r' : .r and.r : 0. Assunling that it is valid (it is) to reverse the order ol integration. evaluate this integral by integrating first with respect to.\.

ME5331 Lecture 15 Line Integrals Example 1. Evaluate the following integral along each of the paths shown in the figure. Solution: We have four paths of integration: (a) along the parabolic arc that joins the points A and B; (b) along the straight line AB; (c) along the path APB; (d) along the path AQB. Since we need to integrate...