# Impossible integral

1. Dec 9, 2007

### frasifrasi

---> how do I solve this integral?

integral from -1 to 1/(sqrt(3)) of e^(arctan y) over (1+y^2)...

Am I supposed to use integration by parts or what?

2. Dec 9, 2007

### Avodyne

As a general rule, a good strategy to try is a substitution of the form u = ugliest subpiece. In this case, u = arctan y.

3. Dec 9, 2007

### rocomath

i definitely cannot make out what your integral is

you should really learn latek, lol. i learned latek around my 30th posting :p

4. Dec 9, 2007

### cristo

Staff Emeritus
The integral is this: $$\int_{-1}^{1/\sqrt{3}}\frac{\exp(\arctan y)}{(1+y^2)}dy$$

frasifrasi; click on the image to see the latex code.

5. Dec 9, 2007

### frasifrasi

so, a simple u sub will work? then I would have to sub back in before evaluating, correct?

6. Dec 9, 2007

### rocomath

correct! or you could evaluate during your substitution which changes your intervals, but it's all up to you.