Sunday, 19 July 2015

integration - Does inti1nftysin(fracsinxx)mathrmdxdiverge or not?

Does 1sin(sinxx)dxdiverge or not? If it converges, does it converge conditionally or absolutely?
I guess that it converges conditionally, also,I think it may be related to (n+1)πnπsinxxdx , but I do not know how to start?
Any help will be appreciated.

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