Saturday, 2 July 2016

complex analysis - How to evaluate $int_0^infty {x over 1 + x^5} ;dx $?







How to evaluate the following integral using complex method?

$$\int_0^\infty {x \over 1 + x^5} \;dx $$

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real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

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}...