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NDA Math Definite Integrals
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© examsnet.com
Question : 22
Total: 62
What is
e
∫
1
x
ln
x
d
x
equal to?
[NDA I 2018]
e
+
1
4
e
2
+
1
4
e
−
1
4
e
2
−
1
4
Validate
Solution:
e
∫
1
x
logxdx
=
[
logx
⋅
x
2
2
]
1
e
−
e
∫
1
1
x
⋅
x
2
2
d
x
=
e
2
2
−
1
2
×
1
2
[
x
2
]
1
e
=
e
2
2
−
e
2
−
1
4
=
e
2
+
1
4
© examsnet.com
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