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The value of \(\alpha\) for which \(4\alpha {\int }_{-1}^{2}{e}^{-\alpha |x|}dx=5\) is [JEE Main 2020, 7 Jan (Shift 2)]

Q1

The value of \(\alpha\) for which \(4\alpha {\int }_{-1}^{2}{e}^{-\alpha |x|}dx=5\) is

[JEE Main 2020, 7 Jan (Shift 2)]

a

\(\log _{ e }\left(\frac{3}{2}\right)\)

b

\(\log _{ e }\left(\frac{4}{3}\right)\)

c

\(\log _{ e } \sqrt{2}\)

d

\(\log _{ e } 2\)

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