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Mathematics
Mathematics
Problem
Let
G
(
x
)
=
∫
0
sin
x
e
t
2
d
t
G(x)=\displaystyle\int_{0}^{\sin x} e^{t^{2}}\,dt
G
(
x
)
=
∫
0
s
i
n
x
e
t
2
d
t
. What is
G
′
(
x
)
G'(x)
G
′
(
x
)
? a)
e
x
2
cos
x
e^{x^{2}}\cos x
e
x
2
cos
x
b)
e
(
sin
x
)
2
cos
x
e^{(\sin x)^{2}}\cos x
e
(
s
i
n
x
)
2
cos
x
c)
e
(
sin
x
)
2
sin
x
e^{(\sin x)^{2}}\sin x
e
(
s
i
n
x
)
2
sin
x
d)
e
(
sin
x
)
2
e^{(\sin x)^{2}}
e
(
s
i
n
x
)
2
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