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Byju's Answer
Standard XII
Mathematics
Factorization Method Form to Remove Indeterminate Form
#8747;tan3/2 ...
Question
∫
tan
3
/
2
x
sec
2
x
d
x
Open in App
Solution
∫
tan
3
2
x
·
sec
2
x
d
x
Let
tan
x
=
t
⇒
sec
2
x
=
d
t
d
x
⇒
sec
2
x
d
x
=
d
t
Now
,
∫
tan
3
2
x
·
sec
2
x
d
x
=
∫
t
3
2
d
t
=
t
3
2
+
1
3
2
+
1
+
C
=
2
5
t
5
2
+
C
=
2
5
tan
5
2
x
+
C
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