JEE Advanced 2016JEE Adv 2016 Paper 2, Paper 2MathematicsHardIntegral Calculus369× since 2002The value of ∫−π2π2x2cosx1+exdx\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{x^{2} \cos x}{1+e^{x}} d x∫−2π2π1+exx2cosxdx is equal toAOption A. π24−2\frac{\pi^{2}}{4}-24π2−2BOption B. π24+2\frac{\pi^{2}}{4}+24π2+2COption C. π2−eπ2\pi^{2}-e^{\frac{\pi}{2}}π2−e2πDOption D. π2+eπ2\pi^{2}+e^{\frac{\pi}{2}}π2+e2πCheckStep-by-step hintSkip · show solution
