If I= _ 0 ^ / 2 e^ - x d x where (0, ), then

Mathematics · JEE Advanced · NTA Exams — Integral Calculus

1. \(I<\frac{\pi}{2}\)
2. \(I>\frac{\pi}{2}\left(e^{-\alpha}+1\right)\)
3. \(I>\frac{\pi}{2} e^{-\alpha}\)
4. \(I>0\)

Answer

(A) I< 2, (C) I> 2 e^ -, (D) I>0

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