Signals and Systems - Electrical Engineering

APPENDIX: Useful Formulas 745

∫

x−^1 dx=log(x)

∫

eaxdx=

eax

a

a6= 0

∫
xeaxdx=

eax

a^2

(ax− 1 )

∫
sin(ax)dx=−

1

a

cos(ax)

∫
cos(ax)dx=

1

a

sin(ax)

∫
sin(x)
x

dx=

∑∞

n= 0

(− 1 )n

x^2 n+^1

( 2 n+ 1 )( 2 n+ 1 )!

integral of sinc function

∫∞

0

sin(x)

x

dx=

∫∞

0

[

sin(x)

x

] 2

dx=

π

2