If $(\,\mathop \smallint \nolimits_0^a \,\,x\,dx\,)\;\,\, \le \,\,\,\left( {a + 4} \right)$, then

$a\,\,\, \le \,\, - 2$ or $a\,\,\, \ge \,\,4$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

(\,\int \nolimits_0^a \,\,x\,dx\,)\;\,\, \le \,\,\,\left( {a + 4} \right)

, then

View answer and explanation

Correct option: B

- \,2 \le \,\,\,a\,\, \le 4

Option B (

- \\,2 \le \\,\\,a\\,\le 4

) is correct because it represents the interval where the inequality holds true after solving the quadratic inequality.

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