# Untitled Page 28

- Page ID
- 148370

## Homework Problems

**1**.
Integrate

or show that it diverges.

**2**.
Integrate

or show that it diverges.

**3**.
Integrate

or show that it diverges.

**4**.
Integrate

or show that it diverges. (solution in the pdf version of the book)

**5**.
Integrate

or show that it diverges. (Problem 15 on p. 99 suggests a trick for doing the indefinite integral.)

**6**.
Prove that

converges, but don't evaluate it.

**7**.
(a) Verify that the probability distribution *dP*/*dx* given in example 60 on page 80
is properly normalized.

(b) Find the average value of *x*, or show that it diverges.

(c) Find the standard deviation of *x*, or show that it diverges.

**8**.
Prove

(c) 1998-2013 Benjamin Crowell, licensed under the Creative Commons Attribution-ShareAlike license. Photo credits are given at the end of the Adobe Acrobat version.