Question Number 9864 by richard last updated on 10/Jan/17
$$\mathrm{If}\:\:\frac{\mathrm{1}}{\sqrt{{a}}}\:\underset{\:\mathrm{1}} {\overset{{a}} {\int}}\:\left(\frac{\mathrm{3}}{\mathrm{2}}\:\sqrt{{x}}\:+\mathrm{1}−\:\frac{\mathrm{1}}{\sqrt{{x}}}\right){dx}\:<\:\mathrm{4},\:\mathrm{then}\:\:{a} \\ $$ $$\mathrm{may}\:\mathrm{take}\:\mathrm{values}\:: \\ $$