(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This question is part of Fourier Series in Circuit Analysis. There were fairly straightforward integrals which I calculated and confirmed using MAPLE to be correct, however the book gives somewhat different answers. I would presume that what I did was correct and the solutions manual made an error, however since it's a fairly large question with answers being carried forward I want to make doubly sure.Sorry about the size of the images, I will remove them after the problem

This is the integral essentially, the definite integral from 2 to 4 is left out because it's zero,

f(t) = 5 for 0 < t < 1

f(t) = 10 for 1 < t < 2

2. Relevant equations

cos (Pi/2) = (-1)[itex]^{\frac{n-1}{2}}[/itex]

cos (Pi) = (-1)[itex]^{n}[/itex]

3. The attempt at a solution

My answer came to this:

EDIT: cos(nPi/2) goes to (-1)^n/2 - still doesn't reconcile my answers with the book though.

The MAPLE output was:

[itex]5\,{\frac {1+\cos \left( 1/2\,n\pi \right) -2\,\cos \left( n\pi

\right) }{n\pi }}[/itex]

The answer in the book was (last line before the table):

As you can imagine, because the answers are different, the values in the table are going to be different and hence whatever I have to plot afterwards will be different.

**Physics Forums - The Fusion of Science and Community**

# Basic Trig Integral Question.

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

Have something to add?

- Similar discussions for: Basic Trig Integral Question.

Loading...

**Physics Forums - The Fusion of Science and Community**