The value of the integral $I = \int_{0}^{1} x(1 - x)^n dx$ is
- A$\frac{1}{n + 1}$
- B$\frac{1}{n + 2}$
- C$\frac{1}{n + 1} - \frac{1}{n + 2}$
- D$\frac{1}{n + 1} + \frac{1}{n + 2}$
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