Physical Chemistry , 1st ed.

x^2 ebxdxebx

x

b

2



2

b

x

 2 b

2

3 

xmebxdxebx

m

k 0

(1)k

(m

m



!

k)

x

!

m





b

k

k 1

Definite Integrals†





0

ebx

2

dx

1

2





b



1/2





0

xebx

2

dx

1

2

b





0

xnebxdx

bn

n



!

 1 , n1,b    0







x^2 ebx

2

dx

1

2



b



3 

1/2





0

x^2 nebx

2

dx





b





^1 ^3 ^5 (2n1)

2 n^1 bn

Appendix 1 Useful Integrals 793

†Each expression must be evaluated at the limits specified on the integral.