Comparison Test for Improper Integrals In some cases, it is impossible to find the exact value of improper integral, but it is important to determine whether the integral converges or diverges. Suppose the functions f and g are continuous and on the interval It can be shown that if
dx converges, then
dx alos converges if
dx diverges, then
dx alos diverges. This is know as the Comparison Test for improper integrals.
(a) Use the comparison Test to determine whether
dx converges or diverges. (Hint: Use the fact that
