Solution Found!
Use the results (5.105) and (5.106) to prove the formulas
Chapter 5, Problem 5.48(choose chapter or problem)
Use the results (5.105) and (5.106) to prove the formulas (5.83)(5.85) for the Fourier coeffi-cients an and bn. [Hint: Multiply both sides of the Fourier expansion (5.82) by cos(mwt) or sin(mwt) and then integrate from z/2 to r/2.]
Questions & Answers
QUESTION:
Use the results (5.105) and (5.106) to prove the formulas (5.83)(5.85) for the Fourier coeffi-cients an and bn. [Hint: Multiply both sides of the Fourier expansion (5.82) by cos(mwt) or sin(mwt) and then integrate from z/2 to r/2.]
ANSWER:Step 1 of 3
The Fourier series is
Multiply the above equation with and integrate within the limit with respect to
But,
Thus all the terms containing the coefficients and will become zero except for