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CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
3. Evaluate
∫
16
sin
2
(
2
x
)
cos
2
(
2
x
)
d
x
\int 16 \sin ^{2}(2 x) \cos ^{2}(2 x) d x
∫
16
sin
2
(
2
x
)
cos
2
(
2
x
)
d
x
. (A)
2
x
−
sin
8
x
4
+
C
\quad 2 x-\frac{\sin 8 x}{4}+C
2
x
−
4
s
i
n
8
x
+
C
(B)
2
x
+
sin
8
x
4
+
C
2 x+\frac{\sin 8 x}{4}+C
2
x
+
4
s
i
n
8
x
+
C
(C)
2
x
−
sin
2
x
4
+
C
2 x-\frac{\sin 2 x}{4}+C
2
x
−
4
s
i
n
2
x
+
C
(D)
2
x
+
sin
2
x
4
+
C
2 x+\frac{\sin 2 x}{4}+C
2
x
+
4
s
i
n
2
x
+
C
Related theory
Trigonometric Identities
Trigonometric Functions
Integration Techniques
Standard trigonometric integrals
Integration using trigonometric identities
Integrals
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