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If and , then the value of is…
MATHEMATICS · Subjective · ISC · Mathematics · Physics · Calculus
Problem
If
f
(
x
)
=
∑
n
=
1
∞
sin
n
x
4
n
f(x) = \sum_{n=1}^{\infty} \frac{\sin nx}{4^n}
f
(
x
)
=
∑
n
=
1
∞
4
n
s
i
n
n
x
and
∫
0
π
f
(
x
)
d
x
=
log
(
m
n
)
\int_0^\pi f(x) dx = \log\left(\frac{m}{n}\right)
∫
0
π
f
(
x
)
d
x
=
lo
g
(
n
m
)
, then the value of
(
m
+
n
)
(m+n)
(
m
+
n
)
is ...
Related theory
Special Series
Infinite Series
Exponential and Logarithmic Functions
Logarithmic Functions
Second fundamental theorem of calculus
Definite integrals
Integrals
Ratios of standard angles
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