Barrons AP Calculus

Does converge or diverge?

SOLUTION:.

Therefore, this integral diverges.

It  can be  shown   that        converges   if  p   <   1   but diverges    if  p 1.    Figure

N7–25 shows an interpretation of in terms of areas where .

Only the first-quadrant area under to the left of x = 1 exists. Note that

.

BC  ONLY

Figure  N7–25