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The set of values of alpha (alpha gt 0) ...

The set of values of `alpha (alpha gt 0)` for which the inequality `int_(-alpha)^(alpha) e^x dx gt 3/2` holds true is :

A

`(0, oo)`

B

`(2,oo)`

C

`(ln2, oo)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`2e^(2alpha) - 3e^(alpha) - 2 gt 0 rArr e^(alpha) lt -1/2 " or " e^(alpha) gt 2`
But `e^(alpha) gt 0 AA alpha in R rArr e^alpha gt 2`
`i.e. alpha in (log2, oo)`
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