Mathematics, 31.01.2020 20:01 alvaradolm6853
Which of the following integrals represents the area of the region bounded by x = e and the functions f(x) = ln(x) and g(x) = log1/e(x)?
the integral from 0 to e of the quantity, natural log of x minus the log base 1 over e of x, dx
the integral from 1 to e of the quantity, the log base 1 over e of x minus the natural log of x, dx
the integral from negative 1 to 0 of 4 minus the log base 1 over e of x, dx plus the integral from 0 to 1 of 4 minus the natural log of x, dx
the integral from 1 to e of the quantity, natural log of x minus the log base 1 over e of x, dx
Answers: 1
and 
intersect when 
. For all 
, we have 
and 
, so 
. Then the area we want is given by the integral,
,
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Which of the following integrals represents the area of the region bounded by x = e and the function...
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