Use a CAS to explore the integrals for various values of p (include noninteger values). For what values of p does the integral converge? What is the value of the integral when it does converge? Plot the integrand for various values of p. [ xP In xox Find the values of p where the integral converges. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The integral converges for all values of p. O B. The integral diverges for all values of p. O C. The integral converges when . (Type an inequality or a compound inequality.) Find the value of the integral for when it converges. [ xP In xox =] (Type an exact answer in terms of e.)What is the graph of f(x) = x In x for p = 2? O A. O B. O C. 1 x 16 8 12 16 W What is the graph of f(x) =x In x for p = - 2? O A. O B. O C. Q 12 16 12 16 What is the graph of f(x) = x" In x for p = 0.2? O A. OB. O C. Ay Q Q 1 x 216