How would I evaluate this integral with infinite limits (see image)?

Question

anonymous · Answer

Integral:

anonymous · Answer

I understand that I would separate the integral into two parts:

one as the limit of t → -inf, of the integral from t to 0, 

then the other as the limit of m → inf, of the integral from 0 to m


But I don't understand how I would even take the anti-derivative? This is from a practice-exam that my teacher emailed me, so this could possibly be a mistake? Is there any *true* way to solve this with Calc II techniques?

anonymous · Answer

this must be a mistake if this is calc II.

i am seeing no obvious way to integrate this and wolfram agrees

anonymous · Answer

i'd leave the thread open though. i'm also interested in more opinions

anonymous · Answer

Yeah, I tried Wolfram Alpha and Mathway - neither see a solution.

Thanks for taking a look anyway.

anonymous · Answer

It's not a mistake.

In order to tell if the function converges or diverges, you must use the Comparison Test.