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JEE Advanced 2012 Paper 2 Mathematics Q7
Mathematics
Problem
The value of the integral
∫
−
π
/
2
π
/
2
(
x
2
+
ln
π
+
x
π
−
x
)
cos
x
d
x
\displaystyle\int_{-\pi/2}^{\pi/2}\left(x^2+\ln\dfrac{\pi+x}{\pi-x}\right)\cos x\,dx
∫
−
π
/2
π
/2
(
x
2
+
ln
π
−
x
π
+
x
)
cos
x
d
x
is
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