Calculate ∫01xa−xblnxdx\int_0^1 \frac{x^a - x^b}{\ln x} dx∫01lnxxa−xbdx for a,b>−1a, b > -1a,b>−1.
ln(a+1b+1)\ln(\frac{a+1}{b+1})ln(b+1a+1)
ln(b+1a+1)\ln(\frac{b+1}{a+1})ln(a+1b+1)
a−ba-ba−b
ln(a−b)\ln(a-b)ln(a−b)