Solve Impossible Integral: Integration by Parts?

[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?

 

[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.

 

[rocomath]

i definitely cannot make out what your integral is

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

 

[cristo]

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.

 

[frasifrasi]

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

 

[rocomath]

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