The set of values of $\alpha \,\,(\alpha > 0)$ for which the inequality $\mathop \smallint \nolimits_{ - {\rm{\alpha }}}^{\rm{\alpha }} \,\,{e^x}\,dx\,\, > \,\,\frac{3}{2}$ holds true, is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The set of values of

\alpha \,\,(\alpha > 0)

for which the inequality

\int \nolimits_{ - \mathrm{\alpha }}^\mathrm{\alpha } \,\,{e^x}\,dx\,\, > \,\,\frac{3}{2}

holds true, is

View answer and explanation

Correct option: C

\left( {\log \,\,2,\,\,\infty } \right)

Option C (

\left( {\log \,2,\,\infty } \right)

) is correct because the inequality leads to

{e^\alpha } > 2

, which implies

\alpha > \log 2

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