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Mathematics
Mathematics
Problem
Let
P
(
x
)
=
∫
x
2
sin
x
2
e
t
2
d
t
P(x)=\displaystyle \int_{x^{2}\sin x}^{2} e^{t^{2}}\,dt
P
(
x
)
=
∫
x
2
s
i
n
x
2
e
t
2
d
t
for all real
x
x
x
. What is
P
′
(
0
)
P'(0)
P
′
(
0
)
? a)
1
1
1
b)
P
′
(
0
)
P'(0)
P
′
(
0
)
does not exist c)
0
0
0
d)
−
1
-1
−
1
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