00:01
In this question, we need to find out the fourier series for the function given by f of x is equal to x cubed in the interval 0 to c.
00:18
Open interval.
00:20
So let us see.
00:21
We know that the fourier series is given by for f of x, the superior series is given by a0 divided by 2 plus summation and going from 1.
00:31
To infinity, an, cost, nx, plus bn, sine, nx.
00:39
Okay, so here our aim is what, here we just need to find out whatever, what is the value of a -0, a -n, and b -n, correct? so let's say this is equation one, so a -not is given by the formula 1 over c integral from 0 to c, f of x, dx, so this will be one.
01:01
Over c integral 0 to c f of x is given to b x cube so this becomes 1 over c times c raised to 4 this becomes c r dd so this is cc divided by 4...