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Byju's Answer
Standard XII
Mathematics
Algebra of Derivatives
Enter '1' if ...
Question
Enter '1' if following statement is true otherwise enter '0'.
∫
a
x
+
tan
−
1
x
[
x
2
+
2
x
2
+
1
]
d
x
=
a
x
+
tan
−
1
(
x
)
ln
(
a
)
+
c
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Solution
Let
I
=
∫
a
x
+
tan
−
1
(
x
)
x
2
+
2
x
2
+
1
d
x
substitute
u
=
x
+
tan
−
1
(
x
)
d
u
=
1
+
1
1
+
x
2
d
x
=
x
2
+
2
x
2
+
1
d
x
I
=
∫
a
u
d
u
=
a
u
ln
(
a
)
=
a
x
+
tan
−
1
(
x
)
ln
(
a
)
+
C
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0
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