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Jee Main 2025 — Medium JEE math MCQ

If the area of the region \(\{(x, y) : -1 \leq x \leq 1, 0 \leq y \leq a + e^{x+1} - e^{-x}, a > 0\}\) is \(\frac{e^{x+1} e^{x+1}}{e}\), then the value of \(a\) is
  1. A. 8
  2. B. 7
  3. C. 5
  4. D. 6

Solution

The correct option is **C**. (C. 5)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
If the area of the region {(x,y):−1≤x≤1,0≤y≤a+ex+1−e−x,a>0}\{(x, y) : -1 \leq x \leq 1, 0 \leq y \leq a + e^{x+1} - e^{-x}, a > 0\} is ex+1ex+1e\frac{e^{x+1} e^{x+1}}{e}, then the value of aa is
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep