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Problems
Let
f
(
x
)
=
∣
2
cos
2
x
sin
2
x
−
sin
x
sin
2
x
2
sin
2
x
cos
x
sin
x
−
cos
x
0
∣
f(x) = \begin{vmatrix} 2 \cos^2 x & \sin 2x & -\sin x \\ \sin 2x & 2 \sin^2 x & \cos x \\ \sin x & -\cos x & 0 \end{vmatrix}
f
(
x
)
=
2
cos
2
x
sin
2
x
sin
x
sin
2
x
2
sin
2
x
−
cos
x
−
sin
x
cos
x
0
…
Mathematics
Problem
Let
f
(
x
)
=
∣
2
cos
2
x
sin
2
x
−
sin
x
sin
2
x
2
sin
2
x
cos
x
sin
x
−
cos
x
0
∣
f(x) = \begin{vmatrix} 2 \cos^2 x & \sin 2x & -\sin x \\ \sin 2x & 2 \sin^2 x & \cos x \\ \sin x & -\cos x & 0 \end{vmatrix}
f
(
x
)
=
2
cos
2
x
sin
2
x
sin
x
sin
2
x
2
sin
2
x
−
cos
x
−
sin
x
cos
x
0
, the value of
∫
0
π
/
2
{
f
(
x
)
+
f
′
(
x
)
}
d
x
\int_0^{\pi/2} \{f(x) + f'(x)\} dx
∫
0
π
/2
{
f
(
x
)
+
f
′
(
x
)}
d
x
, is a.
π
/
2
\pi/2
π
/2
b.
π
\pi
π
c.
3
π
/
2
3\pi/2
3
π
/2
d.
2
π
2\pi
2
π
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