How can I evaluate $\displaystyle\int_0^\infty \frac{\sin x}{x} \, dx$? (Let $\displaystyle \frac{\sin0}{0}=1$.)
I proved that this integral exists by Cauchy's sequence.
However I can't evaluate what is the exact value of this integral.
How can I evaluate $\displaystyle\int_0^\infty \frac{\sin x}{x} \, dx$? (Let $\displaystyle \frac{\sin0}{0}=1$.)
I proved that this integral exists by Cauchy's sequence.
However I can't evaluate what is the exact value of this integral.
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