Physical Chemistry , 1st ed.

Appendix 1 Useful Integrals

Indefinite Integrals*

sin bxcos bx dx

1

b

sin^2 bx

sin axsin bx dxsin

2

(

(

a

a





b

b

)

)

xsin

2

(

(

a

a





b

b

)

)

x

sin^2 bx dx

2

x



4

1

b

sin (2bx)

cos^2 bx dx

2

x

4

1

b

sin (2bx)

sin^3 bx dx

3

1

b

cos bx(sin^2 bx2)

xsin^2 bx dx

x

4

2



4

x

b

sin (2bx)  8

1

b^3

cos (2bx)

xcos^2 bx dx

b

1

 2 cos bxb

x

sin bx

x^2 sin^2 bx dxx

6

3



4

x

b

2



8

1

b^2

sin 2bx

4

x

b^2

cos 2bx

ebxdx

1

b

ebx

xebxdx ebx

b

1

 2 (bx1)

792

1 Useful Integrals

2 Thermodynamic Properties of
Various Substances

3 Character Tables

4 Infrared Correlation Tables

5 Nuclear Properties

Appendixes

*Each expression must be evaluated at particular limits, typically determined by the situation

under consideration.