Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for convergence. If more than one method applies, use whatever method you prefer. 00 S π/2 Does 00 3+ cos (2x) -dx X S π/2 3+ cos (2x) X Converge Diverge -dx diverge or converge? ...

Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for convergence. If more than one method applies, use whatever method you prefer. S dx O B. √xº Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. The comparison function g(x)= can be used with a comparison test to determine convergence, but since 1 3 x° +6 OA. 00 dx S 0 √x +6 √√x +6 this choice of g(x) is discontinuous at x = OF dx dx By the Direct Comparison Test, the integral diverges because f(x) √√x+6 and g(x) are both continuous and positive over the interval, f(x) > g(x) over this interval, and the integral of g(x) over this interval diverges. (Type your answer in interval notation.) 1 this choice of g(x) is discontinuous at x = dx dx izlas -S. √√x+6 S 0 √√x +6 1 The comparison function g(x)= can be used with a comparison test to determine convergence, but since S interval converges, and J 1 ndj- dx √√x+6 (Type your answer in interval…

Determine whether they converge or diverge using the comparison test.