यदि \(\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{96 x^{2} \cos ^{2} x}{\left(1+e^{x}\right)} d x\) = π(απ2 + β), α, β ∈ Z है, तब (α + β)2 बराबर है:

1
144
2
196
3
100
4
64

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