Let
You get:
It converges.
I am not getting integrals that are improper! Here are 2 questions that I'm not sure about: The integral from 0 to infinity of (x) / (x^2+33)2 dx. Also, the integral from negative infinity to infinity of (30-x^4) dx. I think the last integral is convergent since its an upside down parabola.
No, I was confused before why (1) over (x^2+33)^2 got 1/66, but I understand now! And I think for my second question, I think the answer is negative infinity, but wouldn't that be divergent? The second question was the integral from neg. infin. to pos infin. of (30-x^2). I'm not sure if I did something wrong, but it seems like the answer is negative infinity. Does that make sense?