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Mathematics
Mathematics
Problem
Find the exact area of the region bounded by the curve
y
=
x
cos
x
y=x\cos x
y
=
x
cos
x
, the
x
x
x
-axis, and the vertical lines
x
=
0
x=0
x
=
0
and
x
=
π
2
x=\dfrac{\pi}{2}
x
=
2
π
. a)
π
2
\dfrac{\pi}{2}
2
π
b)
π
2
+
1
\dfrac{\pi}{2}+1
2
π
+
1
c)
π
2
−
1
\dfrac{\pi}{2}-1
2
π
−
1
d)
1
−
π
2
1-\dfrac{\pi}{2}
1
−
2
π
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