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The value of
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
The value of
I
(
n
)
=
∫
0
π
sin
2
(
n
θ
)
sin
2
θ
d
θ
I(n)=\int_0^\pi\frac{\sin^2(n\theta)}{\sin^2\theta}\,d\theta
I
(
n
)
=
∫
0
π
s
i
n
2
θ
s
i
n
2
(
n
θ
)
d
θ
, for all
n
∈
N
n\in\mathbb{N}
n
∈
N
, is (1)
n
π
n\pi
nπ
(2)
n
π
2
\frac{n\pi}{2}
2
nπ
(3)
n
π
4
\frac{n\pi}{4}
4
nπ
(4) None of these
Related theory
Integration Techniques
Standard trigonometric integrals
Integration using trigonometric identities
Integrals
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