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Mathematics
Mathematics
Problem
Evaluate
∫
0
π
/
4
2
x
cos
(
x
2
)
d
x
\displaystyle \int_{0}^{\pi/4} 2x\cos(x^{2})\,dx
∫
0
π
/4
2
x
cos
(
x
2
)
d
x
. a)
π
2
16
\dfrac{\pi^{2}}{16}
16
π
2
b)
sin
(
π
2
16
)
\sin\!\left(\dfrac{\pi^{2}}{16}\right)
sin
(
16
π
2
)
c)
1
2
sin
(
π
2
16
)
\dfrac12\sin\!\left(\dfrac{\pi^{2}}{16}\right)
2
1
sin
(
16
π
2
)
d)
sin
(
π
4
)
\sin\!\left(\dfrac{\pi}{4}\right)
sin
(
4
π
)
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