1. ## A typical integral

Dears,

First of all, I am sorry for the unbalance format since I am not get used to typing mathematics symbolsin La Tex

More than twenty years ago, I was accidentally handed an integral. At the first glance, it was not a big problem. However I failed to solved it until now. Sometimes I return to it after a hard working day as a hobby. The more I think about it, the more I discover that it is not simple. It is

$\int sinxdx/x$

I thought about the Euler formula in complex number
Exp(ix) = cosx + isinx
Then let say

Io = $\int exp(ix)dx/x$ = $\int cosxdx/x$ + i $\int sinxdx/x$

I tried to calculate to find out result for Io, then acquire its imaginary part. But it does not solve the problem either.
Any of you have good idea or solution can post it here to help me

If you find it difficult to read, please see the attached screenshot with the same content in Facebook

Thanks

3. ## Re: A typical integral

Can we find the result for indefinite integral, without the bounding?

4. ## Re: A typical integral

Originally Posted by thinhnghiem123
Can we find the result for indefinite integral, without the bounding?
https://en.wikipedia.org/wiki/Trigonometric_integral