Need help with improper integral

Hello

ıt ıs ımpossible for this improper integral converges. Because when limit of this integral n goes to infinity, cos or sin functions oscillate. Positive area than negative area ... It continues like this, so it diverges. Do you think that this question is true? Is it a trustable source?
 
Kagankarakoc, you are mistaken. Yes, the integrand oscillates. But as t increases the period of oscillation goes to 0. Yes, positive and negative values alternate but if we were to integrate over each "half period", we would have an infinite series of positive and negative terms that decrease in absolute value. And that series converges.
 
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