`int_0^oo cosx dx` Decide whether the integral is improper. Explain your reasoning

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Any integral with infinite bounds is an improper integral. Hence `int_0^infty cos x dx` is an improper integral. 

Also, the cosine function is a periodic function and `lim_(x to infty)cos x` does not exist. Therefore, the above integral does not converge.                                         

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