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Mathematics
Problem
The integral
∫
π
/
4
5
π
/
4
(
∣
cos
t
∣
sin
t
+
∣
sin
t
∣
cos
t
)
d
t
\int_{\pi/4}^{5\pi/4} (|\cos t| \sin t + |\sin t| \cos t) dt
∫
π
/4
5
π
/4
(
∣
cos
t
∣
sin
t
+
∣
sin
t
∣
cos
t
)
d
t
has the value equal to a. 0 b.
1
/
2
1/2
1/2
c.
1
/
2
1/\sqrt{2}
1/
2
d. 1
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