Скачать или смотреть Obtain the Fourier series expansion of xsinx as a cosine series in (0, π)

Hi! Myself Dr. Ayan Sarkar. In this video regarding the half-range Fourier series, I have obtained the Fourier series representation of a function f(x) =xsinx, in the interval of 0 to π. Using the half-range Fourier cosine series expansion of xsinx (0, π), deduced herein, I have also found the value of the following series:
1+2/(1.3)-2/(3.5)+2/(5.7)- ... ...
Please watch this video till the end and like this video, and subscribe to my channel.
I have already uploaded several videos on Fourier series problems on my channel. To watch the videos, I would ask you to check the Fourier series and Physics classes playlists.
I have collected the problem from the Higher Engineering Mathematics book, authored by Dr B.S. Grewal (38th edition); problem # 7, exercise 10.6.

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