Finding a definite integral

[ainster31]

Homework Statement

Homework Equations

The Attempt at a Solution

 

[R136a1]

Could you write some sentences too? You just posted a bunch of equations. So, could you tell us exactly the statement that needs to be proven. Tell us in words what you did. Tell us exactly where you are stuck.

 

[ainster31]

Could you write some sentences too? You just posted a bunch of equations. So, could you tell us exactly the statement that needs to be proven. Tell us in words what you did. Tell us exactly where you are stuck.

b_n needs to be computed. The solution is under 1.

I computed b_n and the end result is under 3. The issue is that my end result doesn't match the solution's end result.

 

[Office_Shredder]

You got the same answer, just cancel the positive and negative
$$\frac{2}{n\pi} \cos\left( \frac{n\pi}{2} \right)$$
that you have

 

[ainster31]

You got the same answer, just cancel the positive and negative
$$\frac{2}{n\pi} \cos\left( \frac{n\pi}{2} \right)$$
that you have

Thanks. These Fourier series problems are so painfully long T_T.