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Mathematics
Mathematics
Problem
Define
S
(
x
)
=
x
∫
x
x
2
e
t
d
t
.
S(x)=x\,\int_{x}^{x^{2}} e^{t}\,dt.
S
(
x
)
=
x
∫
x
x
2
e
t
d
t
.
Calculate
S
′
(
x
)
S'(x)
S
′
(
x
)
, expressing your final answer in terms of elementary functions and an integral, if needed.
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