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Mathematics
Mathematics
Problem
Which of the following correctly defines an antiderivative of a function
f
(
x
)
f(x)
f
(
x
)
? a)
F
′
′
(
x
)
=
f
(
x
)
F''(x)=f(x)
F
′′
(
x
)
=
f
(
x
)
b)
F
(
x
)
=
∫
f
(
x
)
d
x
F(x)=\displaystyle \int f(x)\,dx
F
(
x
)
=
∫
f
(
x
)
d
x
c)
F
′
(
x
)
=
f
(
x
)
F'(x)=f(x)
F
′
(
x
)
=
f
(
x
)
d)
F
(
x
)
=
∫
a
b
f
(
t
)
d
t
F(x)=\displaystyle\int_{a}^{b} f(t)\,dt
F
(
x
)
=
∫
a
b
f
(
t
)
d
t
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