Question:
What is the area bounded by the regions y = ex, y = e-x and the straight line x = 1?
What is the area bounded by the regions y = ex, y = e-x and the straight line x = 1?
Options:
- (e + 1/e – 2) sq units
- (e – 1/e) sq units
- (e + 1/e) sq units
- (e – 1/e – 2) sq units
- (e + 1/e – 2) sq units
- (e – 1/e) sq units
- (e + 1/e) sq units
- (e – 1/e – 2) sq units
Correct Answer: a)
Explanation:
The gi√en cur√es,
y=e”,y=e*andx=1
12 el 1
iy
! ge Al∞ !
A
£0, 1) »
LLB 1. Vie)
! I » !
r 1
1 Area of EACOE = Is ydz I
1 a z !
hed lel)
! Arca of EBCOE = e “dx !
1 Re
! =-e”p=—e”~1 !
a)
‘ So, the area of EABE = Area of EACOE – Area of EBCOE
eee mmm meme mmm mmm me
—(e—1)—(1-1 !
FE Ch Ie
‘ = (e+1 -2) sq units
The gi√en cur√es,
y=e”,y=e*andx=1
12 el 1
iy
! ge Al∞ !
A
£0, 1) »
LLB 1. Vie)
! I » !
r 1
1 Area of EACOE = Is ydz I
1 a z !
hed lel)
! Arca of EBCOE = e “dx !
1 Re
! =-e”p=—e”~1 !
a)
‘ So, the area of EABE = Area of EACOE – Area of EBCOE
eee mmm meme mmm mmm me
—(e—1)—(1-1 !
FE Ch Ie
‘ = (e+1 -2) sq units