The value of a(a>0) for which the area bounded by the curves y=6x+x21,y=0,x=a,andx=2a has the least value is__

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The value of {a}{({a}>{0})} for which the area bounded by the

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The value of $a (a > 0)$ for which the area bounded by the curves $y = \frac{x}{6} + \frac{1}{x ^{2}}, y = 0, x = a, a n d x = 2 a$ has the least value is__

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The value of

a (a > 0)

for which the area bounded by the curves

y = \frac{x}{6} + \frac{1}{x ^{2}}, y = 0, x = a, a n d x = 2 a

has the least value is__

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Question Text

The value of

a (a > 0)

for which the area bounded by the curves

y = \frac{x}{6} + \frac{1}{x ^{2}}, y = 0, x = a, a n d x = 2 a

has the least value is__