1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Local Maxima
Area bounded ...
Question
Area bounded by the curves
y
=
e
x
,
y
=
l
o
g
e
x
and the lines x=0, y=0 , y=1 is
A
e
2
+
2
sq. units
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
e
+
1
sq. unit
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
e
+
2
sq. unit
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
e
−
1
sq. unit
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
D
e
−
1
sq. unit
Area = Area of rectangle
O
A
B
C
−
∫
1
0
l
o
g
e
x
=e-1
Suggest Corrections
1
Similar questions
Q.
The area bounded by the curves
y
=
x
e
x
,
y
=
x
e
−
x
and the line
x
=
1
is
Q.
Area bounded by the curve
y
=
x
e
x
2
, x-axis and the ordinates x=0, x=a
Q.
The area bounded by the curve y = log
e
x and x-axis and the straight line x = e is
(a) e sq. units
(b) 1 sq. units
(c) 1−
1
e
sq. units
(d) 1+
1
e
sq. units