Let I =∫¹₀ x^p ln x dx.
(a) Show that I diverges for p = −1.
(b) Show that if p ≠ −1, then

(c) Use L’Hôpital’s Rule to show that I converges if p > −1 and diverges if p

Transcribed Image Text:

[xnxdx=(x-₁)+c XP+1 In p+1 1 p+1) +C