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Byju's Answer
Standard XII
Mathematics
Integrating Factor
∫1+tan2x√tan2...
Question
∫
1
+
tan
2
x
√
tan
2
x
+
3
Open in App
Solution
I
=
∫
1
+
tan
2
x
√
tan
2
x
+
3
d
x
=
∫
sec
2
x
√
tan
2
x
+
3
d
x
Let
tan
x
=
t
sec
2
x
d
x
=
d
t
I
=
∫
d
t
√
t
2
+
3
=
ln
(
t
+
√
t
2
+
3
)
+
c
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Similar questions
Q.
Solve:
I
=
∫
d
x
1
−
tan
2
x
2
1
+
tan
2
x
2
+
√
3
Q.
Integrate the following functions w.r.t.
x
:
1
+
tan
2
x
√
tan
2
x
+
3
Q.
I =
∫
(
1
+
t
a
n
2
x
1
−
t
a
n
2
x
) dx
Q.
Show that
cos
2
x
=
1
−
tan
2
x
1
+
tan
2
x
Q.
Prove that :
tan
2
x
=
2
tan
x
1
−
tan
2
x
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