The integral ${\int }_{-1}^{\frac{3}{2}}\left(\left|{\pi }^{2}x\sin (\pi x)\right|\right)dx$ is equal to : [JEE Main 2025, 8 Apr (Shift 1)]

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The integral \({\int }_{-1}^{\frac{3}{2}}\left(\left|{\pi }^{2}x\sin (\pi x)\right|\right)dx\) is equal to : [JEE Main 2…