Im having trouble integrating this function.
$$\int_0^{0.5}\int_0^{\pi/4} \frac{r\sin\theta \ln(1-r\cos\theta -r\sin\theta )}{r\cos\theta-\sqrt{(r\cos\theta)^2+(r\sin\theta)^2 }} r \,d\theta \, dr$$
I can simplify this to:
$$\int_0^{0.5}\int_0^{\pi/4} \frac{r\sin\theta \ln(1-r\cos\theta -r\sin\theta )}{r\cos\theta-\sqrt{r^2 }} r \,d\theta \,dr$$
Im stuck on the integration.
Can anyone help me, thanks in advance