Please make sure to answer the question correctly, and please write all the work/steps clearly and legibly for the answer. I need the work/steps to better understand how to work the question / get the answer. Thank you.

Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. 00 _ ke -6k2 k =1 . . .. . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series converges. The value of the integral _ xe - 6x2 dx is (Type an exact answer.) O B. The series diverges. The value of the integral _ xe - 6x2 dx is 1 (Type an exact answer.) O C. The Integral Test does not apply