JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumIntegral Calculus369× since 2002If the area of the region {(x,y):−1≤x≤1,0≤y≤a+e∣x∣−e−x,a>0}\{(x, y) : -1 \leq x \leq 1, 0 \leq y \leq a + e^{|x|} - e^{-x}, a > 0\}{(x,y):−1≤x≤1,0≤y≤a+e∣x∣−e−x,a>0} is π2+8e+1e\frac{\pi^2 + 8e + 1}{e}eπ2+8e+1, then the value of aaa is:AOption A. 8BOption B. 7COption C. 5DOption D. 6CheckStep-by-step hintSkip · show solution