Calculate an integral:$$\int\limits_{\mathbb{R}} \frac{\cos x \, d x}{x^4+1}.$$May somebody demonstrate how to use complex analysis there? And also how to prove that this method might be used.
How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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