Use the integral Test to determine whether the following series converges after showing that the conditions of the integral Test are satisfied.k=1ke-22Determine which conditions of the Integral Test are satisfied by the function f(x)=xe-2x2. Select all that apply.A. The function f(x) is positive for x1.B. The function f(x) is a decreasing function for x1.C. The function f(x) has the property that a2=f(k) for k=1,2,3,dotsD. The function f(x) is negative for x1.E. The function f(x) is continuous for x1.F. The function f(x) is an increasing function for x1.Select the correct choice below and, If necessary, fill in the answer box to complete your choice.