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Byju's Answer
Standard X
Mathematics
Surface Area of Combined Figures
The area encl...
Question
The area enclosed between the curve
y
=
log
e
(
x
+
e
)
and the coordinate axes is
A
4
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B
3
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C
2
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D
1
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Solution
The correct option is
A
1
Required area
=
∫
0
1
−
e
log
(
x
+
e
)
d
x
Put
x
+
e
=
t
⇒
d
x
=
d
t
so,
x
→
1
−
e
⇒
t
→
1
and
x
→
0
⇒
t
→
e
Therefore,
area
=
∫
e
1
log
t
d
t
=
[
t
log
t
−
t
]
e
1
=
(
e
log
e
−
e
)
−
(
1
log
1
−
1
)
=
1
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