
Yay integrals
Alright. I know these fairly well, but have a question on these particular two.
The integral from 0 to 33, (x1)^(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^x1), 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!!

$\displaystyle \int\limits_0^{33} {\left( {x  1} \right)^{  \frac{1}
{5}} } dx = \left. {\frac{5}
{4}\left( {x  1} \right)^{\frac{4}
{5}} } \right_0^{33} =
$...
$\displaystyle
\int\limits_{  1}^1 {\frac{{e^x }}
{{e^x  1}}dx = \ln \left {e^x  1} \right} $...