Answer
$$p > 1$$
Work Step by Step
$$\eqalign{
& \int_1^\infty {{x^{ - p}}dx} = \frac{1}{{p - 1}}{\text{ if }}p > 1 \cr
& {\text{The integral converges if }}p > 1 \cr
& {\text{The integral diverges if }}p \leqslant 1 \cr} $$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 7 - Integration Techniques - 7.8 Improper Integrals - 7.8 Exercises - Page 578: 4
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
