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Let a Denote the Area Enclosed by the Graph f(x)=1xf ( x ) = \frac { 1 } { x }

Question 11

Multiple Choice

Let A denote the area enclosed by the graph f(x) =1xf ( x ) = \frac { 1 } { x } , the x-axis, and the lines x = 1 and x = e. By part 2 of the Fundamental Theorem of Calculus, A is


A) 11e1 - \frac { 1 } { \mathrm { e } }
B) 11e21 - \frac { 1 } { \mathrm { e } ^ { 2 } }
C) 12\frac { 1 } { 2 }
D) 1
E) 1e2\frac { 1 } { \mathrm { e } ^ { 2 } }

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