Area bounded by y = ex, y = e–x, x = 1 is : | MATH - AREA BOUNDED BY REGION, VOLUME AND SURFACE AREA OF SOLIDS OF REVOLUTION | SolveeIt | Solveeit

Today, August 23

Question

Area bounded by y = e^x, y = e^–x, x = 1 is :

A

e + $\frac { 1 } { \mathrm { e } }$ + 2

B

e + $\frac { 1 } { \mathrm { e } }$ –2

C

e – $\frac { 1 } { \mathrm { e } }$ + 2

D

None of these

Answer

e + $\frac { 1 } { \mathrm { e } }$ –2

Explanation

Solution

dx = $\left( e ^ { x } + e ^ { - x } \right) _ { 0 } ^ { 1 }$

= (e + e^–1) – (1 + 1)

= e + $\frac { 1 } { \mathrm { e } }$ – 2