- #1
dirk_mec1
- 761
- 13
Homework Statement
[tex]
\int_0^1\frac{x-1}{\ln{x}} dx
[/tex]
Homework Equations
[tex]
\Phi(\alpha)=\int_0^1\frac{x^{\alpha}-1}{\ln{x}} dx
[/tex]
The Attempt at a Solution
In the answers they say:[tex]
\Phi '(\alpha)=\int_0^1\frac{x^{\alpha}\ln{x}}{\ln{x}} dx=\frac{1}{\alpha+1}
[/tex]but the derative is wrong, right? I don't understand how they calculated the derative...