Find the Integral $\int \frac{x}{(1-x)^{4}} d x$ A) $\frac{1}{3}\left(\frac{1}{(1-x)^{2}}\right)-\frac{1}{2}\left(\frac{1}{(1-x)^{3}}\right)+C$ B) $\frac{1}{2}\left(\frac{1}{(1-x)^{2}}\right)-\frac{1}{3}\left(\frac{1}{(1-x)^{3}}\right)+C$ C) $-\frac{1}{2}\left(\frac{1}{(1-x)^{2}}\right)+\frac{1}{3}\left(\frac{1}{(1-x)^{3}}\right)+C$ D) $-\frac{1}{3}\left(\frac{1}{(1-x)^{2}}\right)+\frac{1}{2}\left(\frac{1}{(1-x)^{3}}\right)+C$

Multiple Choice

Find the integral.
- $\int \frac{x}{(1-x) ^{4}} d x$

A) $\frac{1}{3}\left(\frac{1}{(1-x) ^{2}}\right) -\frac{1}{2}\left(\frac{1}{(1-x) ^{3}}\right) +C$
B) $\frac{1}{2}\left(\frac{1}{(1-x) ^{2}}\right) -\frac{1}{3}\left(\frac{1}{(1-x) ^{3}}\right) +C$
C) $-\frac{1}{2}\left(\frac{1}{(1-x) ^{2}}\right) +\frac{1}{3}\left(\frac{1}{(1-x) ^{3}}\right) +C$
D) $-\frac{1}{3}\left(\frac{1}{(1-x) ^{2}}\right) +\frac{1}{2}\left(\frac{1}{(1-x) ^{3}}\right) +C$