Continue to Site

Welcome to EDAboard.com

Welcome to our site! EDAboard.com is an international Electronics Discussion Forum focused on EDA software, circuits, schematics, books, theory, papers, asic, pld, 8051, DSP, Network, RF, Analog Design, PCB, Service Manuals... and a whole lot more! To participate you need to register. Registration is free. Click here to register now.

Register Log in

Problem in solving Integral

Status
Not open for further replies.
C

claudiocamera

Full Member level 4
Joined
Aug 19, 2005
Messages
224
Helped
27
Reputation
54
Reaction score
6
Trophy points
1,298
Location
Salvador-BA-Brazil
Activity points
4,282
Solving a problem I came across a power density function in the form S(w) = w^2/( w^2 + a^2) where "a" is given constant , I must find the Power, in order to do that, I need to solve the integral in all the frequency range which means from -∞ to + ∞:

∫ [ w^2/( w^2 + a^2)] dw = ??? I am clueness! How to solve this ? I tried by parts and by fration expansion, but apparently I made some mistake . Can anybody help ?

Thanks
Claudio
 

\[\int \frac{w^2}{w^2+a^2} dw = \int \left( 1- \frac{a^2}{w^2+a^2} \right)dw = w - a \tan^{-1}\frac{w}{a}\]

Hope this helps

Venkat
 
Hi
in matlab:

syms w
syms a
int( w^2/( w^2 + a^2),w )

ans =
w-a*atan(w/a)
 
the answer in the range of -inf to +inf is undefined or infinity so the power is inf or a is a function of w
 

Status
Not open for further replies.

Similar threads

Part and Inventory Search

Welcome to EDABoard.com

Sponsor

Back
Top