Thursday, 28 March 2019

calculus - The integral intlimitsi0nftyfracx4ex(ex1)2mathrmdx

How to calculate the following integral 0x4ex(ex1)2dx


I would like to solve this integral by means of two different ways: for example, integration by parts and using Residue Theorem.

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...