Barrons AP Calculus

(E) Use formula (20)    in  the Appendix    to  rewrite the integral    as

(E) The area,   A,  is  represented by  .

(D)

(C) Check   to  verify  that    each    of  the other   improper    integrals   converges.

(D) Note    that    the integral    is  improper.

See Example 26.

(C) Let  .  Then    ln  y   =   −x  ln  x   and

Now apply   L’Hôpital’s Rule: