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JEE Math Practice Question

The integral $\int\limits_{-1}^{\frac{3}{2}} \left(| \pi^2 x \sin(\pi x) \right|) dx$ is equal to:

  1. A.$2 + 3\pi$
  2. B.$4 + \pi$
  3. C.$1 + 3\pi$
  4. D.$3 + 2\pi$

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