00:02
We are given a function f of x as 4 where x is the greater than or equals to 0 and less than or equals to 1.
00:10
8 for x greater than or equals to 1, less than and equals to 2.
00:16
4 for x greater than or equals to 2, less than or equals to 3.
00:21
And 0 for x greater than or equals to 3 and less than or equals to 6, less than or equals to 6.
00:29
Basically x is varying from 0 to 6.
00:32
We need to find the fourier series for the given function.
00:36
The fourier series is given as f of x is equal to a0 plus summation n equals to 1 to infinity an cos theta n plus bn sin theta n.
00:51
So for defining the value of a0 we use the formula 1 by t integral minus t to t f of x dx.
01:02
F of x dx.
01:04
An is equal to 1 by t integral minus t to t f of x cos theta n dx.
01:12
And bn is equal to 1 by t integral minus t.
01:18
Let me rewrite it again.
01:21
And then next page...