1.

$\displaystyle \int\frac{-x}{(x + 1) - \sqrt{x + 1}} dx$

2.

$\displaystyle \int^2_1(x - 1)\sqrt{2 - x} dx$

I am stumped on both of these problems.

On #1, I try u = x + 1, but wind up with

$\displaystyle \int\frac{-u + 1}{u - u^\frac{1}{2}} du$

which only seems more unsolvable than it was before

On #2, I try u = 2 - x, but then wind up getting 1 for the lower limit and 0 for the upper limit which makes no sense.

Help, please?