Alright. I know these fairly well, but have a question on these particular two.

The integral from 0 to 33, (x-1)^(-1/5).

I know that x cant be zero or negative.

If you could work out a few steps i'd appreciate it. I can finish it if i find the limits probably.

Also, for the integral from -1 to 1, (e^x)/(e^x-1), I know how to work it to the point that it = 1/2(e^x -1)^2 | (-1 to s) + 1/2(e^x -1)^2 | (t to 1)

Where s and t came into the picture when Limit S ->0 and Limit T->0...

My question is, I know that it is divergent, but I don't know why. It is probably a simple answer, so i am sorry.

Thank you for your help!!