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Mathematics
Mathematics
Problem
Let
H
(
x
)
=
∫
2
x
cos
t
d
t
.
H(x)=\displaystyle \int_{2}^{x} \cos t\,dt.
H
(
x
)
=
∫
2
x
cos
t
d
t
.
Which statement about
H
H
H
is true for all real
x
x
x
? a)
H
(
x
)
=
cos
x
−
cos
2
H(x)=\cos x-\cos 2
H
(
x
)
=
cos
x
−
cos
2
b)
H
′
(
x
)
=
sin
x
H'(x)=\sin x
H
′
(
x
)
=
sin
x
c)
H
(
x
)
=
sin
x
−
sin
2
H(x)=\sin x-\sin 2
H
(
x
)
=
sin
x
−
sin
2
d)
H
(
x
)
=
sin
x
+
sin
2
H(x)=\sin x+\sin 2
H
(
x
)
=
sin
x
+
sin
2
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