Solve
Guides
Join / Login
Use app
Login
0
You visited us
0
times! Enjoying our articles?
Unlock Full Access!
Standard XII
Mathematics
Property 1
Question
Evaluate :
∫
x
x
(
1
+
log
x
)
d
x
Open in App
Solution
Verified by Toppr
Let
x
x
=
t
. Then,
d
(
x
x
)
=
d
t
d
(
e
x
log
x
)
=
d
t
e
x
log
x
(
log
x
+
1
)
d
x
=
d
t
x
x
(
1
+
log
x
)
d
x
=
d
t
Therefore,
I
=
∫
x
x
(
1
+
log
x
)
d
x
I
=
∫
d
t
=
t
+
C
=
x
x
+
C
Was this answer helpful?
46
Similar Questions
Q1
Evaluate :
∫
x
x
(
1
+
log
x
)
d
x
View Solution
Q2
∫
x
x
(1 + log x) dx = ________________.
View Solution
Q3
∫
x
x
(
1
+
log
x
)
d
x
is equal to
View Solution
Q4
Evaluate:
∫
log
x
d
x
View Solution
Q5
If
∫
x
x
(
1
+
log
x
)
d
x
x
x
+
1
=
1
2
(
1
+
log
x
)
n
+
c
, then find the value of
n
.
View Solution