Last Year HW:5.4.12

[Aida Razi]

I am just wondering in this question when P.T. wrote Parseval's equality, it shouldn't contain "integral |sin(nπx/l)|^2"; Right?

[Victor Ivrii]

Aida, please next time provide a link, like this one
http://weyl.math.toronto.edu:8888/APM346-2011F-wiki/index.php/Home_Assignment_8#5.4.12.

I am just wondering in this question when P.T. wrote Parseval's equality, it shouldn't contain "integral |sin(nπx/l)|^2"; Right?

Yes, except $\int_0^l |sin(nπx/l)|^2\,dx =l/2$, so you don't need this integral. Ditto for 5.4.13, 5.4.15.



And who is P.T.?

[Aida Razi]

Aida, please next time provide a link, like this one
http://weyl.math.toronto.edu:8888/APM346-2011F-wiki/index.php/Home_Assignment_8#5.4.12.

I am just wondering in this question when P.T. wrote Parseval's equality, it shouldn't contain "integral |sin(nπx/l)|^2"; Right?

Yes, except $\int_0^l |sin(nπx/l)|^2\,dx =l/2$, so you don't need this integral. Ditto for 5.4.13, 5.4.15.



And who is P.T.?

"Paul Tan" Last year student.

[Victor Ivrii]

Yes, except $\int_0^l |sin(nπx/l)|^2\,dx =l/2$, so you don't need this integral. Ditto for 5.4.13, 5.4.15.



And who is P.T.?

"Paul Tan" Last year student.
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Shame on me--I forgot--he was the best online help!