Trigonometric Integral Expression (Jee Mains) | ExamDuo
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Basics and Substitution
Medium
Trigonometric Integral Expression
The value of the integral
∫
sin
θ
sin
2
θ
(
sin
6
θ
+
sin
4
θ
+
sin
2
θ
)
√
2
sin
4
θ
+
3
sin
2
θ
+
6
1
−
cos
2
θ
d
θ
is (where,
c
is a constant of integration)
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SELECT ONE OPTION
A
1
18
[
11
−
18
sin
2
θ
+
9
sin
4
θ
−
2
sin
6
θ
]
3
2
+
c
B
1
18
[
9
−
2
cos
6
θ
−
3
cos
4
θ
−
6
cos
2
θ
]
3
2
+
c
C
1
18
[
9
−
2
sin
6
θ
−
3
sin
4
θ
−
6
sin
2
θ
]
3
2
+
c
D
1
18
[
11
−
18
cos
2
θ
+
9
cos
4
θ
−
2
cos
6
θ
]
3
2
+
c
Check