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Byju's Answer
Standard XII
Mathematics
Integration by Parts
Write a value...
Question
Write a value of
∫
1
1
+
e
x
d
x
.
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Solution
Let
I
=
∫
d
x
1
+
e
x
Dividing
numerator
&
denominator
by
e
x
⇒
I
=
∫
1
e
x
d
x
1
e
x
+
1
=
∫
e
-
x
d
x
e
-
x
+
1
Let
e
-
x
+
1
=
t
-
e
-
x
d
x
=
d
t
⇒
e
-
x
d
x
=
-
d
t
∴
I
=
∫
-
d
t
t
=
-
log
t
+
C
=
-
log
1
+
e
x
+
C
∵
t
=
1
+
e
x
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