- #1

funcalys

- 30

- 1

## Homework Statement

[itex]\int_0^1\frac{\sin(\pi x)}{1-x}dx[/itex]

## Homework Equations

[itex]\int \frac{\sin (\pi x)}{1-x}=Si(\pi-\pi x)[/itex]

## The Attempt at a Solution

I was stuck on the above integral while solving an exercise, I found out earlier on Wolfram that this integral doesn't probably have an elementary antiderivative representation so I cannot just calculate it directly by Newton-Leibniz formula. Integration by parts is not very viable in this case also. Maybe this needs the notion of contour integration to be solved? Any idea guys?