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Mathematics
Mathematics
Problem
The value of
∫
log
2
log
3
x
sin
x
2
sin
x
2
+
sin
(
log
6
−
x
2
)
d
x
\int_{\sqrt{\log 2}}^{\sqrt{\log 3}} \frac{x \sin x^2}{\sin x^2 + \sin (\log 6 - x^2)} dx
∫
l
o
g
2
l
o
g
3
s
i
n
x
2
+
s
i
n
(
l
o
g
6
−
x
2
)
x
s
i
n
x
2
d
x
is (2011) (a)
1
4
log
3
2
\frac{1}{4} \log \frac{3}{2}
4
1
lo
g
2
3
(b)
1
2
log
3
2
\frac{1}{2} \log \frac{3}{2}
2
1
lo
g
2
3
(c)
log
3
2
\log \frac{3}{2}
lo
g
2
3
(d)
1
6
log
3
2
\frac{1}{6} \log \frac{3}{2}
6
1
lo
g
2
3
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