- #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...