Comparison Test for Improper Integrals: In many cases, it is impossible to evaluate an improper integral exactly, but it is still helpful to know Whether it is convergent or divergent. We can determine conve.rgenoe,/I divergence by comparing to an improper integral Whose behavior is easier to analyze. Suppose that f and g are continuous functions with U S f(:r) E 9LT.) on [11,00] 1. If If\" 9(5) do: is convergent, then L f[r)d:1: is oonvergent. 2. If If\" f[:r:) do: is divergent, then 1:\" g(2:) do: is divergent. Note: H J?\" 9(3) d3: is divergent or If\" f (11") (is: is convergent, then no conclusion can be made. Example: Determine whether the following integraLI-i converge or diverge. Du1 1.], d. 13743 m1 1:: 2.] +9 do: 1 MATH 145 JIL-Ilin Cantu