JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\frac{1}{\sqrt{a}} \int\limits_{1}^a\left(\frac{3}{2} \sqrt{x}+1-\frac{1}{\sqrt{x}}\right) dx < 4

, then '

a

' may take values:

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because the inequality simplifies to

a + \sqrt{a} - 6 < 0

, which leads to

a \in [0, 4)

, and none of the given options satisfy this condition while also being defined.

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