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\int_{- 2}^{2} (x^{3} \cos \frac{x}{2} + \frac{1}{2}) \sqrt{4 - x} d x

= \int_{- 2}^{2} (x^{3} \cos \frac{x}{2}) \sqrt{4 - x} d x + \int_{- 2}^{2} (\frac{1}{2}) \sqrt{4 - x} d x

\int_{- 2}^{2} (x^{3} \cos \frac{x}{2}) \sqrt{4 - x} d x = 0

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