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

A) $1 - \frac { 1 } { \mathrm { e } }$
B) $1 - \frac { 1 } { \mathrm { e } ^ { 2 } }$
C) $\frac { 1 } { 2 }$
D)1
E) $\frac { 1 } { \mathrm { e } ^ { 2 } }$

Question

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

A) $1 - \frac { 1 } { \mathrm { e } }$
B) $1 - \frac { 1 } { \mathrm { e } ^ { 2 } }$
C) $\frac { 1 } { 2 }$
D)1
E) $\frac { 1 } { \mathrm { e } ^ { 2 } }$

Quizplus · Accepted Answer

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

A) $1 - \frac { 1 } { \mathrm { e } }$
B) $1 - \frac { 1 } { \mathrm { e } ^ { 2 } }$
C) $\frac { 1 } { 2 }$
D)1
E) $\frac { 1 } { \mathrm { e } ^ { 2 } }$

Let a Denote the Area Enclosed by the Graph f(x)=1xf ( x ) = \frac { 1 } { x }f(x)=x1​

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