Teaching UP PGT Mock Test Series 2024 Mathematics Integral Calculus Properties of Definite Integrals
If \(\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{96 x^{2} \cos ^{2} x}{\left(1+e^{x}\right)} d x\) = π(απ2 + β), α, β ∈ Z, then (α + β)2 equals :
1
144
2
196
3
100
4
64