Integral of 1/(sqrt(1-x)) from 0 to 1.
I am getting -2*sqrt(1-x) for the integral and then from 0 to 1 it would appear to be 0 - (-2) or 2 to be the answer?
Please advice.
$\displaystyle \lim_{\epsilon\rightarrow 0}\int\limits^{1-\epsilon}_0\frac{dx}{\sqrt{1-x}}=\lim_{\epsilon\rightarrow 0}\,-2\left[\sqrt{1-x}\right]^{1-\epsilon}_0=$ $\displaystyle \lim_{\epsilon\rightarrow 0}\,-2(\sqrt{\epsilon}-1)=2$
So you're answer seems to be correct.
Tonio