JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumIntegral Calculus369× since 2002If ∫−π2π225x2cos2x2(x+e)2 dx=π(απ2+β)\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{25 x^2 \cos^2 x}{2(x + e)^2} \, dx = \pi (\alpha \pi^2 + \beta)∫−2π2π2(x+e)225x2cos2xdx=π(απ2+β), α,β∈Z\alpha, \beta \in \mathbb{Z}α,β∈Z, then (α+β)2(\alpha + \beta)^2(α+β)2 equalsAOption A. 64BOption B. 196COption C. 144DOption D. 100CheckStep-by-step hintSkip · show solution
