Page 726 - Handbook Of Integral Equations

∞ 2

2 1 π b
34. exp –ax cos bx dx = exp – .
2 a 4a
0

2 2
∞ π b b
2
35. cos(ax ) cos bx dx = cos + sin , a, b >0.
0 8a 4a 4a
∞ 1 π a
2
2 2
36. (cos ax + sin ax) cos(b x ) dx = exp – , a, b >0.
0 b 8 2b
∞ 2

2 2 1 π a
37. cos ax + sin ax sin(b x ) dx = exp – , a, b >0.
b 8 2b
0
•
References for Supplement 3: H. B. Dwight (1961), I. S. Gradshteyn and I. M. Ryzhik (1980), A. P. Prudnikov,
Yu. A. Brychkov, and O. I. Marichev (1986, 1988).

© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
Page 710