The value of ${\int }_{-\frac{\pi }{2}}^{\frac{\pi }{2}}\left(\frac{1+{\sin }^{2}x}{1+{\pi }^{\sin x}}\right)dx$ is: [JEE Main 2021, 26 Aug (Shift 2)]

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The value of \({\int }_{-\frac{\pi }{2}}^{\frac{\pi }{2}}\left(\frac{1+{\sin }^{2}x}{1+{\pi }^{\sin x}}\right)dx\) is: […

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