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If ( ), then the value of…
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
If
f
(
x
)
=
1
π
∫
0
π
/
2
sin
2
n
θ
sin
2
θ
d
θ
f(x) = \frac{1}{\pi} \int_0^{\pi/2} \frac{\sin^2 n\theta}{\sin^2 \theta} d\theta
f
(
x
)
=
π
1
∫
0
π
/2
s
i
n
2
θ
s
i
n
2
n
θ
d
θ
(
n
∈
N
n \in \mathbb{N}
n
∈
N
), then the value of
f
(
15
)
+
f
(
13
)
f
(
15
)
−
f
(
13
)
\frac{f(15) + f(13)}{f(15) - f(13)}
f
(
15
)
−
f
(
13
)
f
(
15
)
+
f
(
13
)
...
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